Algebraic Geometry And Topologya Symposium In Honor Of Slefschetz

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Algebraic Geometry and Topology

Author : Ralph Hartzler Fox
Publisher : Princeton University Press
ISBN 13 : 1400879914
Total Pages : 410 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Geometry and Topology by : Ralph Hartzler Fox

Download or read book Algebraic Geometry and Topology written by Ralph Hartzler Fox and published by Princeton University Press. This book was released on 2015-12-08 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Symposium on Algebraic Topology in Honor of Jose Adem

Author : Samuel Gitler
Publisher : American Mathematical Soc.
ISBN 13 : 0821850105
Total Pages : 374 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symposium on Algebraic Topology in Honor of Jose Adem by : Samuel Gitler

Download or read book Symposium on Algebraic Topology in Honor of Jose Adem written by Samuel Gitler and published by American Mathematical Soc.. This book was released on 1982 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Geometry and Topology

Author : Ralph Hartzler Fox
Publisher :
ISBN 13 : 9781258705398
Total Pages : 408 pages
Book Rating : 4.7/5 (53 download)

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Book Synopsis Algebraic Geometry and Topology by : Ralph Hartzler Fox

Download or read book Algebraic Geometry and Topology written by Ralph Hartzler Fox and published by . This book was released on 2013-05 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Princeton Mathematical Series, No. 12. Additional Editor Is Marston Morse. Contributors Include W. V. D. Hodge, Norman E. Steenrod, S. Lefschetz, And Many Others.

Algebraic Geometry and Topology

Author : Solomon Lefschetz
Publisher :
ISBN 13 : 9780691079073
Total Pages : 399 pages
Book Rating : 4.0/5 (79 download)

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Book Synopsis Algebraic Geometry and Topology by : Solomon Lefschetz

Download or read book Algebraic Geometry and Topology written by Solomon Lefschetz and published by . This book was released on 1957 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Algebraic Geometry

Author : Mauro C. Beltrametti
Publisher : Walter de Gruyter
ISBN 13 : 311019807X
Total Pages : 364 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Algebraic Geometry by : Mauro C. Beltrametti

Download or read book Algebraic Geometry written by Mauro C. Beltrametti and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume consists of invited refereed research papers. The contributions cover a wide spectrum in algebraic geometry, from motives theory to numerical algebraic geometry and are mainly focused on higher dimensional varieties and Minimal Model Program and surfaces of general type. A part of the articles grew out a Conference in memory of Paolo Francia (1951-2000) held in Genova in September 2001 with about 70 participants.

Algebraic Geometry And TopologyA Symposium In Honor Of S.Lefschetz

Author : Rh Fox
Publisher : Legare Street Press
ISBN 13 : 9781021511713
Total Pages : 0 pages
Book Rating : 4.5/5 (117 download)

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Book Synopsis Algebraic Geometry And TopologyA Symposium In Honor Of S.Lefschetz by : Rh Fox

Download or read book Algebraic Geometry And TopologyA Symposium In Honor Of S.Lefschetz written by Rh Fox and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative volume offers a comprehensive overview of the field of algebraic geometry and topology, and pays tribute to the great mathematician Solomon Lefschetz. Featuring contributions from leading scholars in the field, this volume covers a range of topics including topology, algebraic geometry, and differential geometry. With rigorous proofs and detailed analysis of complex mathematical concepts, this book is an essential resource for anyone working in the field of mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Quandles and Topological Pairs

Author : Takefumi Nosaka
Publisher : Springer
ISBN 13 : 9811067937
Total Pages : 138 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Quandles and Topological Pairs by : Takefumi Nosaka

Download or read book Quandles and Topological Pairs written by Takefumi Nosaka and published by Springer. This book was released on 2017-11-20 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles.More precisely, this work emphasizes the fresh perspective that quandle theory can be useful for the study of low-dimensional topology (e.g., knot theory) and relative objects with symmetry. The direction of research is summarized as “We shall thoroughly (re)interpret the previous studies of relative symmetry in terms of the quandle”. The perspectives contained herein can be summarized by the following topics. The first is on relative objects G/H, where G and H are groups, e.g., polyhedrons, reflection, and symmetric spaces. Next, central extensions of groups are discussed, e.g., spin structures, K2 groups, and some geometric anomalies. The third topic is a method to study relative information on a 3-dimensional manifold with a boundary, e.g., knot theory, relative cup products, and relative group cohomology.For applications in topology, it is shown that from the perspective that some existing results in topology can be recovered from some quandles, a method is provided to diagrammatically compute some “relative homology”. (Such classes since have been considered to be uncomputable and speculative). Furthermore, the book provides a perspective that unifies some previous studies of quandles.The former part of the book explains motivations for studying quandles and discusses basic properties of quandles. The latter focuses on low-dimensional topology or knot theory. Finally, problems and possibilities for future developments of quandle theory are posed.

Differential Analysis on Complex Manifolds

Author : R. O. Wells
Publisher : Springer Science & Business Media
ISBN 13 : 147573946X
Total Pages : 269 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Differential Analysis on Complex Manifolds by : R. O. Wells

Download or read book Differential Analysis on Complex Manifolds written by R. O. Wells and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews

Differential Analysis on Complex Manifolds

Author : Raymond O. Wells
Publisher : Springer Science & Business Media
ISBN 13 : 0387738916
Total Pages : 315 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Differential Analysis on Complex Manifolds by : Raymond O. Wells

Download or read book Differential Analysis on Complex Manifolds written by Raymond O. Wells and published by Springer Science & Business Media. This book was released on 2007-10-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.

Abelian Varieties with Complex Multiplication and Modular Functions

Author : Goro Shimura
Publisher : Princeton University Press
ISBN 13 : 9780691016566
Total Pages : 240 pages
Book Rating : 4.0/5 (165 download)

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Book Synopsis Abelian Varieties with Complex Multiplication and Modular Functions by : Goro Shimura

Download or read book Abelian Varieties with Complex Multiplication and Modular Functions written by Goro Shimura and published by Princeton University Press. This book was released on 1998 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals. The investigation of such algebraicity is relatively new, but has attracted the interest of increasingly many researchers. Many of the topics discussed in this book have not been covered before. In particular, this is the first book in which the topics of various algebraic relations among the periods of abelian integrals, as well as the special values of theta and Siegel modular functions, are treated extensively.

A User's Guide to Spectral Sequences

Author : John McCleary
Publisher : Cambridge University Press
ISBN 13 : 0521567599
Total Pages : 579 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis A User's Guide to Spectral Sequences by : John McCleary

Download or read book A User's Guide to Spectral Sequences written by John McCleary and published by Cambridge University Press. This book was released on 2001 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.

Nonlinear Analysis on Manifolds. Monge-Ampère Equations

Author : Thierry Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 1461257344
Total Pages : 215 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Nonlinear Analysis on Manifolds. Monge-Ampère Equations by : Thierry Aubin

Download or read book Nonlinear Analysis on Manifolds. Monge-Ampère Equations written by Thierry Aubin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian Geometry. Analysis on Riemannian manifolds is a field currently undergoing great development. More and more, analysis proves to be a very powerful means for solving geometrical problems. Conversely, geometry may help us to solve certain problems in analysis. There are several reasons why the topic is difficult and interesting. It is very large and almost unexplored. On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them. Each problem has its own particular difficulties. Nevertheless there exist some standard methods which are useful and which we must know to apply them. One should not forget that our problems are motivated by geometry, and that a geometrical argument may simplify the problem under investigation. Examples of this kind are still too rare. This work is neither a systematic study of a mathematical field nor the presentation of a lot of theoretical knowledge. On the contrary, I do my best to limit the text to the essential knowledge. I define as few concepts as possible and give only basic theorems which are useful for our topic. But I hope that the reader will find this sufficient to solve other geometrical problems by analysis.

Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics

Author : Y.-T. Siu
Publisher : Birkhäuser
ISBN 13 : 3034874863
Total Pages : 172 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics by : Y.-T. Siu

Download or read book Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics written by Y.-T. Siu and published by Birkhäuser. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on the lectures I delivered at the German Mathematical Society Seminar in Schloss Michkeln in DUsseldorf in June. 1986 on Hermitian-Einstein metrics for stable bundles and Kahler-Einstein metrics. The purpose of these notes is to present to the reader the state-of-the-art results in the simplest and the most comprehensible form using (at least from my own subjective viewpoint) the most natural approach. The presentation in these notes is reasonably self-contained and prerequisi tes are kept to a minimum. Most steps in the estimates are reduced as much as possible to the most basic procedures such as integration by parts and the maximum principle. When less basic procedures are used such as the Sobolev and Calderon-Zygmund inequalities and the interior Schauder estimates. references are given for the reader to look them up. A considerable amount of heuristic and intuitive discussions are included to explain why certain steps are used or certain notions introduced. The inclusion of such discussions makes the style of the presentation at some places more conversational than what is usually expected of rigorous mathemtical prese"ntations. For the problems of Hermi tian-Einstein metrics for stable bundles and Kahler-Einstein metrics one can use either the continuity method or the heat equation method. These two methods are so very intimately related that in many cases the relationship betwen them borders on equivalence. What counts most is the a. priori estimates. The kind of scaffolding one hangs the a.

Lectures on Algebraic Geometry I

Author : Günter Harder
Publisher : Springer Science & Business Media
ISBN 13 : 3834883301
Total Pages : 311 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Lectures on Algebraic Geometry I by : Günter Harder

Download or read book Lectures on Algebraic Geometry I written by Günter Harder and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them. For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.

Knot Theory

Author : J. C. Hausmann
Publisher : Springer
ISBN 13 : 354035705X
Total Pages : 321 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Knot Theory by : J. C. Hausmann

Download or read book Knot Theory written by J. C. Hausmann and published by Springer. This book was released on 2006-11-15 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the Memory of Christos Demetriou Papakyriakopoulos, 1914-1976

Introduction to Superstrings and M-Theory

Author : Michio Kaku
Publisher : Springer Science & Business Media
ISBN 13 : 9780387985893
Total Pages : 620 pages
Book Rating : 4.9/5 (858 download)

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Book Synopsis Introduction to Superstrings and M-Theory by : Michio Kaku

Download or read book Introduction to Superstrings and M-Theory written by Michio Kaku and published by Springer Science & Business Media. This book was released on 1999-07-30 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Called by some "the theory of everything," superstrings may solve a problem which has eluded physicists for the past 50 years -- the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. This is a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentation, including: string field theory, multi loops, Teichmueller spaces, conformal field theory, and four-dimensional strings. The book begins with a simple discussion of point particle theory, and uses the Feynman path integral technique to unify the presentation of superstrings. Prerequisites are an aquaintance with quantum mechanics and relativity. This second edition has been revised and updated throughout.

Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

Author : Paula Tretkoff
Publisher : Princeton University Press
ISBN 13 : 1400881250
Total Pages : 229 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51) by : Paula Tretkoff

Download or read book Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51) written by Paula Tretkoff and published by Princeton University Press. This book was released on 2016-02-16 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. Paula Tretkoff emphasizes those finite covers that are free quotients of the complex two-dimensional ball. Tretkoff also includes background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function. The material in this book began as a set of lecture notes, taken by Tretkoff, of a course given by Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes were then considerably expanded by Hirzebruch and Tretkoff over a number of years. In this book, Tretkoff has expanded those notes even further, still stressing examples offered by finite covers of line arrangements. The book is largely self-contained and foundational material is introduced and explained as needed, but not treated in full detail. References to omitted material are provided for interested readers. Aimed at graduate students and researchers, this is an accessible account of a highly informative area of complex geometry.