Algebraic and Geometric Surgery

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Author :
Publisher : Oxford University Press
ISBN 13 : 9780198509240
Total Pages : 396 pages
Book Rating : 4.5/5 (92 download)

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Book Synopsis Algebraic and Geometric Surgery by : Andrew Ranicki

Download or read book Algebraic and Geometric Surgery written by Andrew Ranicki and published by Oxford University Press. This book was released on 2002 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, co-bordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.

Algebraic and Geometric Surgery

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Publisher : Clarendon Press
ISBN 13 : 0191545244
Total Pages : 386 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Algebraic and Geometric Surgery by : Andrew Ranicki

Download or read book Algebraic and Geometric Surgery written by Andrew Ranicki and published by Clarendon Press. This book was released on 2002-09-26 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, cobordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.

A Course on Surgery Theory

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Author :
Publisher : Princeton University Press
ISBN 13 : 069116049X
Total Pages : 442 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis A Course on Surgery Theory by : Stanley Chang

Download or read book A Course on Surgery Theory written by Stanley Chang and published by Princeton University Press. This book was released on 2021-01-26 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.

Algebraic and Geometric Surgery

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Author :
Publisher :
ISBN 13 : 9780191708725
Total Pages : 373 pages
Book Rating : 4.7/5 (87 download)

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Book Synopsis Algebraic and Geometric Surgery by : Andrew Ranicki

Download or read book Algebraic and Geometric Surgery written by Andrew Ranicki and published by . This book was released on 2002 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds.

The Geometric Hopf Invariant and Surgery Theory

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Publisher : Springer
ISBN 13 : 331971306X
Total Pages : 397 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Geometric Hopf Invariant and Surgery Theory by : Michael Crabb

Download or read book The Geometric Hopf Invariant and Surgery Theory written by Michael Crabb and published by Springer. This book was released on 2018-01-24 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.

Surveys on Surgery Theory (AM-145), Volume 1

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Publisher : Princeton University Press
ISBN 13 : 1400865190
Total Pages : 448 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Surveys on Surgery Theory (AM-145), Volume 1 by : Sylvain Cappell

Download or read book Surveys on Surgery Theory (AM-145), Volume 1 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.

Surgery on Compact Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809423
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Surgery on Compact Manifolds by : Charles Terence Clegg Wall

Download or read book Surgery on Compact Manifolds written by Charles Terence Clegg Wall and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.

Surgery Theory and Geometry of Representations

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Publisher : Birkhäuser
ISBN 13 : 3034891679
Total Pages : 121 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Surgery Theory and Geometry of Representations by : T. tom Dieck

Download or read book Surgery Theory and Geometry of Representations written by T. tom Dieck and published by Birkhäuser. This book was released on 2012-12-06 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes were prepared for the DMV-Seminar held in Dusseldorf, Schloss Mickeln from June 28 to July 5, 1987. They consist of two parts which can be read independently. The reader is presumed to have a basic education in differential and algebraic topology. Surgery theory is the basic tool for the investigation of differential and topological manifolds. A systematic development of the theory is a long and difficult task. The purpose of these notes is to describe simple examples and at the same time to give an introduction to some of the systematic parts of the theory. The first part is concerned with examples. They are related to representations of finite groups and group actions on spheres, and are considered as a generalisation of the spherical space form problem. The second part reviews the general setting of surgery theory and reports on the computation of the surgery abstraction groups. Both parts present material not covered in any textbook and also give an introduction to the literature and areas of research. 1. REPRESENTATION FORMS AND HOMOTOPY REPRESENTATIONS. Tammo tom Dieck Mathematical Institute Gottingen University Fed. Rep. of Germany Let G be a (finite) group. We consider group actions of G on spheres and spherelike spaces.

Algebraic and Geometric Surgery

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (486 download)

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Book Synopsis Algebraic and Geometric Surgery by : Andrew A. Ranicki

Download or read book Algebraic and Geometric Surgery written by Andrew A. Ranicki and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Printbegrænsninger: Der kan printes 1 kapitel eller op til 5% af teksten.

Algebraic L-theory and Topological Manifolds

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Publisher : Cambridge University Press
ISBN 13 : 9780521420242
Total Pages : 372 pages
Book Rating : 4.4/5 (22 download)

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Book Synopsis Algebraic L-theory and Topological Manifolds by : Andrew Ranicki

Download or read book Algebraic L-theory and Topological Manifolds written by Andrew Ranicki and published by Cambridge University Press. This book was released on 1992-12-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds, in a unified algebraic framework.

Exact Sequences in the Algebraic Theory of Surgery

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Publisher :
ISBN 13 : 9780691082769
Total Pages : 863 pages
Book Rating : 4.0/5 (827 download)

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Book Synopsis Exact Sequences in the Algebraic Theory of Surgery by : Andrew Ranicki

Download or read book Exact Sequences in the Algebraic Theory of Surgery written by Andrew Ranicki and published by . This book was released on 1981 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Description for this book, Exact Sequences in the Algebraic Theory of Surgery. (MN-26): , will be forthcoming.

Ends of Complexes

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Publisher : Cambridge University Press
ISBN 13 : 0521576253
Total Pages : 384 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Ends of Complexes by : Bruce Hughes

Download or read book Ends of Complexes written by Bruce Hughes and published by Cambridge University Press. This book was released on 1996-08-28 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.

Notes on Cobordism Theory

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Publisher : Princeton University Press
ISBN 13 : 1400879973
Total Pages : 421 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Notes on Cobordism Theory by : Robert E. Stong

Download or read book Notes on Cobordism Theory written by Robert E. Stong and published by Princeton University Press. This book was released on 2015-12-08 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. 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.

High-dimensional Knot Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662120119
Total Pages : 669 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis High-dimensional Knot Theory by : Andrew Ranicki

Download or read book High-dimensional Knot Theory written by Andrew Ranicki and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together many results previously scattered throughout the research literature into a single framework, this work concentrates on the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory.

The Algebraic Characterization of Geometric 4-Manifolds

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Publisher : Cambridge University Press
ISBN 13 : 0521467780
Total Pages : 184 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis The Algebraic Characterization of Geometric 4-Manifolds by : J. A. Hillman

Download or read book The Algebraic Characterization of Geometric 4-Manifolds written by J. A. Hillman and published by Cambridge University Press. This book was released on 1994-02-03 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces.

Algebraic and Geometric Topology

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Publisher : American Mathematical Soc.
ISBN 13 : 082181432X
Total Pages : 412 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic and Geometric Topology by : R. James Milgram

Download or read book Algebraic and Geometric Topology written by R. James Milgram and published by American Mathematical Soc.. This book was released on 1978 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Algebraic $K$- and $L$-theory, Surgery and its applications, Group actions.

Foundations of Algebraic Geometry. --; 29

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Publisher : Hassell Street Press
ISBN 13 : 9781015107670
Total Pages : 392 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Foundations of Algebraic Geometry. --; 29 by : André 1906- Weil

Download or read book Foundations of Algebraic Geometry. --; 29 written by André 1906- Weil and published by Hassell Street Press. This book was released on 2021-09-10 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.