Kunneth Geometry

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Künneth Geometry

Author : M. J. D. Hamilton
Publisher : Cambridge University Press
ISBN 13 : 1108905617
Total Pages : 200 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Künneth Geometry by : M. J. D. Hamilton

Download or read book Künneth Geometry written by M. J. D. Hamilton and published by Cambridge University Press. This book was released on 2023-12-21 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.

Künneth Geometry

Author : M. J. D. Hamilton
Publisher : Cambridge University Press
ISBN 13 : 1108830714
Total Pages : 199 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Künneth Geometry by : M. J. D. Hamilton

Download or read book Künneth Geometry written by M. J. D. Hamilton and published by Cambridge University Press. This book was released on 2023-12-21 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elegant introduction to symplectic geometry and Lagrangian foliations, including a systematic study of bi-Lagrangian geometry.

The Geometry of Algebraic Cycles

Author : Reza Akhtar
Publisher : American Mathematical Soc.
ISBN 13 : 0821851918
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Geometry of Algebraic Cycles by : Reza Akhtar

Download or read book The Geometry of Algebraic Cycles written by Reza Akhtar and published by American Mathematical Soc.. This book was released on 2010 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of algebraic cycles has its roots in the study of divisors, extending as far back as the nineteenth century. Since then, and in particular in recent years, algebraic cycles have made a significant impact on many fields of mathematics, among them number theory, algebraic geometry, and mathematical physics. The present volume contains articles on all of the above aspects of algebraic cycles. It also contains a mixture of both research papers and expository articles, so that it would be of interest to both experts and beginners in the field.

C∞-Algebraic Geometry with Corners

Author : Kelli Francis-Staite
Publisher : Cambridge University Press
ISBN 13 : 1009400207
Total Pages : 224 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis C∞-Algebraic Geometry with Corners by : Kelli Francis-Staite

Download or read book C∞-Algebraic Geometry with Corners written by Kelli Francis-Staite and published by Cambridge University Press. This book was released on 2023-12-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C∞-schemes', which allow differential geometers to study a huge range of singular spaces, including 'infinitesimals' and infinite-dimensional spaces. These are applied in synthetic differential geometry, and derived differential geometry, the study of 'derived manifolds'. Differential geometers also study manifolds with corners. The cube is a 3-dimensional manifold with corners, with boundary the six square faces. This book introduces 'C∞-schemes with corners', singular spaces in differential geometry with good notions of boundary and corners. They can be used to define 'derived manifolds with corners' and 'derived orbifolds with corners'. These have applications to major areas of symplectic geometry involving moduli spaces of J-holomorphic curves. This work will be a welcome source of information and inspiration for graduate students and researchers working in differential or algebraic geometry.

Algebraic Geometry

Author : M. Raynaud
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Algebraic Geometry by : M. Raynaud

Download or read book Algebraic Geometry written by M. Raynaud and published by Lecture Notes in Mathematics. This book was released on 1983-10 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Geometry 2000, Azumino

Author : 臼井三平
Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Algebraic Geometry 2000, Azumino by : 臼井三平

Download or read book Algebraic Geometry 2000, Azumino written by 臼井三平 and published by . This book was released on 2002 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference proceedings volume contains survey and research articles on topics of current interest written by leading international experts. The topic of the symposium was ``Interactions of Algebraic Geometry, Hodge Theory, and Logarithmic Geometry from the Viewpoint of Degenerations''. The book contains four surveys on 1) pencils of algebraic curves by T. Ashikaga and K. Konno; 2) integral $p$-adic Hodge theory by C. Breuil; 3) Hodge-Arakelov theory of elliptic curves by S.Mochizuki; and 4) refined cycle maps by S. Saito. Also included are two results by Gabber on absolute purity theorem written by K. Fujiwara and research articles on the Picard-Lefschetz formula by L. Illusie, moduli spaces of rational elliptic surfaces by G. Heckman and E. Looijenga, moduli of curves ofgenus 4 by S. Kondo, and logarithmic Hodge theory by K. Kato, C. Nakayama, and S. Usui and its application to geometry by S. Saito. The volume is intended for researchers interested in algebraic geometry, particularly in the study of families of algebraic varieties and Hodge structures. Information for our distributors: Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. All commercial channel discounts apply.

Lectures on Algebraic Topology

Author : Albrecht Dold
Publisher : Springer Science & Business Media
ISBN 13 : 3662007568
Total Pages : 389 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Lectures on Algebraic Topology by : Albrecht Dold

Download or read book Lectures on Algebraic Topology written by Albrecht Dold and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for some basic notions, some examples, and some applica tions of (co-)homology to homotopy. Nor does it deal with general(-ised) homology, but many formulations and arguments on singular homology are so chosen that they also apply to general homology. Because of these absences I have also omitted spectral sequences, their main applications in topology being to homotopy and general (co-)homology theory. Cech cohomology is treated in a simple ad hoc fashion for locally compact subsets of manifolds; a short systematic treatment for arbitrary spaces, emphasizing the universal property of the Cech-procedure, is contained in an appendix. The book grew out of a one-year's course on algebraic topology, and it can serve as a text for such a course. For a shorter basic course, say of half a year, one might use chapters II, III, IV (§§ 1-4), V (§§ 1-5, 7, 8), VI (§§ 3, 7, 9, 11, 12). As prerequisites the student should know the elementary parts of general topology, abelian group theory, and the language of categories - although our chapter I provides a little help with the latter two. For pedagogical reasons, I have treated integral homology only up to chapter VI; if a reader or teacher prefers to have general coefficients from the beginning he needs to make only minor adaptions.

American Book Publishing Record

Author :
Publisher :
ISBN 13 :
Total Pages : 1652 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis American Book Publishing Record by :

Download or read book American Book Publishing Record written by and published by . This book was released on 1970 with total page 1652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of Differential Geometry

Author :
Publisher :
ISBN 13 :
Total Pages : 848 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Journal of Differential Geometry by :

Download or read book Journal of Differential Geometry written by and published by . This book was released on 1983 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Cycles and Motives: Volume 2

Author : Jan Nagel
Publisher : Cambridge University Press
ISBN 13 : 0521701759
Total Pages : 360 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Algebraic Cycles and Motives: Volume 2 by : Jan Nagel

Download or read book Algebraic Cycles and Motives: Volume 2 written by Jan Nagel and published by Cambridge University Press. This book was released on 2007-05-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of the subject of algebraic cycles and motives as it stands.

Geometric Aspects of Dwork Theory

Author : Alan Adolphson
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometric Aspects of Dwork Theory by : Alan Adolphson

Download or read book Geometric Aspects of Dwork Theory written by Alan Adolphson and published by . This book was released on 2004 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Geometry

Author : Carl Barnett Allendoerfer
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Differential Geometry by : Carl Barnett Allendoerfer

Download or read book Differential Geometry written by Carl Barnett Allendoerfer and published by . This book was released on 1961 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pacific Journal of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 1022 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Pacific Journal of Mathematics by :

Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1982 with total page 1022 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory and Complex Geometry

Author : Neil Chriss
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Representation Theory and Complex Geometry by : Neil Chriss

Download or read book Representation Theory and Complex Geometry written by Neil Chriss and published by . This book was released on 1997 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an attempt to provide an overview of some of the recent advances in representation theory from a geometric standpoint. A geometrically-oriented treatment is very timely and has long been desired, especially since the discovery of D-modules in the early '80s and the quiver approach to quantum groups in the early '90s.

3264 and All That

Author : David Eisenbud
Publisher : Cambridge University Press
ISBN 13 : 1107017084
Total Pages : 633 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis 3264 and All That by : David Eisenbud

Download or read book 3264 and All That written by David Eisenbud and published by Cambridge University Press. This book was released on 2016-04-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3264, the mathematical solution to a question concerning geometric figures.

Bibliographic Index

Author :
Publisher :
ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bibliographic Index by :

Download or read book Bibliographic Index written by and published by . This book was released on 1971 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aspects of Differential Geometry II

Author : Peter Gilkey
Publisher : Springer
ISBN 13 : 9783031012808
Total Pages : 143 pages
Book Rating : 4.0/5 (128 download)

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Book Synopsis Aspects of Differential Geometry II by : Peter Gilkey

Download or read book Aspects of Differential Geometry II written by Peter Gilkey and published by Springer. This book was released on 2015-05-01 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book II deals with more advanced material than Book I and is aimed at the graduate level. Chapter 4 deals with additional topics in Riemannian geometry. Properties of real analytic curves given by a single ODE and of surfaces given by a pair of ODEs are studied, and the volume of geodesic balls is treated. An introduction to both holomorphic and Kähler geometry is given. In Chapter 5, the basic properties of de Rham cohomology are discussed, the Hodge Decomposition Theorem, Poincaré duality, and the Künneth formula are proved, and a brief introduction to the theory of characteristic classes is given. In Chapter 6, Lie groups and Lie algebras are dealt with. The exponential map, the classical groups, and geodesics in the context of a bi-invariant metric are discussed. The de Rham cohomology of compact Lie groups and the Peter--Weyl Theorem are treated. In Chapter 7, material concerning homogeneous spaces and symmetric spaces is presented. Book II concludes in Chapter 8 where the relationship between simplicial cohomology, singular cohomology, sheaf cohomology, and de Rham cohomology is established. We have given some different proofs than those that are classically given and there is some new material in these volumes. For example, the treatment of the total curvature and length of curves given by a single ODE is new as is the discussion of the total Gaussian curvature of a surface defined by a pair of ODEs.