Surveys On Surgery Theory Am 149 Volume 2

Author : Sylvain Cappell,Andrew Ranicki,Jonathan R​osenberg
Publisher : Princeton University Press
Page : 445 pages
File Size : 46,9 Mb
Release : 2000
Category : Mathematics
ISBN : 9780691088150

Get Book

Surveys on Surgery Theory by Sylvain Cappell,Andrew Ranicki,Jonathan R​osenberg Pdf

Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.

Author : Sylvain Cappell,Andrew Ranicki,Jonathan Rosenberg
Publisher : Princeton University Press
Page : 446 pages
File Size : 45,8 Mb
Release : 2014-09-08
Category : Mathematics
ISBN : 9781400865215

Get Book

Surveys on Surgery Theory (AM-149), Volume 2 by Sylvain Cappell,Andrew Ranicki,Jonathan Rosenberg Pdf

Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.

Author : Sylvain Cappell,Andrew Ranicki,Jonathan Rosenberg
Publisher : Princeton University Press
Page : 448 pages
File Size : 47,8 Mb
Release : 2014-09-08
Category : Mathematics
ISBN : 9781400865192

Get Book

Surveys on Surgery Theory (AM-145), Volume 1 by Sylvain Cappell,Andrew Ranicki,Jonathan Rosenberg Pdf

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.

Author : Friedhelm Waldhausen,Bjørn Jahren,John Rognes
Publisher : Princeton University Press
Page : 193 pages
File Size : 50,7 Mb
Release : 2013-04-21
Category : Mathematics
ISBN : 9781400846528

Get Book

Spaces of PL Manifolds and Categories of Simple Maps (AM-186) by Friedhelm Waldhausen,Bjørn Jahren,John Rognes Pdf

Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation theory. The proof has two main parts. The essence of the first part is a "desingularization," improving arbitrary finite simplicial sets to polyhedra. The second part compares polyhedra with PL manifolds by a thickening procedure. Many of the techniques and results developed should be useful in other connections.

Author : Hans U. Boden
Publisher : American Mathematical Soc.
Page : 368 pages
File Size : 54,8 Mb
Release : 2024-06-03
Category : Mathematics
ISBN : 0821871498

Get Book

Geometry and Topology of Manifolds by Hans U. Boden Pdf

This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the many excellent talks delivered at the conference.

Author : Sylvain E. Cappell,Andrew Ranicki,Jonathan Micah Rosenberg
Publisher : Unknown
Page : 128 pages
File Size : 49,6 Mb
Release : 2000
Category : Surgery (Topology)
ISBN : 0691088144

Get Book

Surveys on Surgery Theory: Study 149 by Sylvain E. Cappell,Andrew Ranicki,Jonathan Micah Rosenberg Pdf

Author : Helge Holden,Ragni Piene
Publisher : Springer Science & Business Media
Page : 561 pages
File Size : 51,8 Mb
Release : 2014-01-21
Category : Mathematics
ISBN : 9783642394492

Get Book

The Abel Prize 2008-2012 by Helge Holden,Ragni Piene Pdf

Covering the years 2008-2012, this book profiles the life and work of recent winners of the Abel Prize: · John G. Thompson and Jacques Tits, 2008 · Mikhail Gromov, 2009 · John T. Tate Jr., 2010 · John W. Milnor, 2011 · Endre Szemerédi, 2012. The profiles feature autobiographical information as well as a description of each mathematician's work. In addition, each profile contains a complete bibliography, a curriculum vitae, as well as photos — old and new. As an added feature, interviews with the Laureates are presented on an accompanying web site (http://extras.springer.com/). The book also presents a history of the Abel Prize written by the historian Kim Helsvig, and includes a facsimile of a letter from Niels Henrik Abel, which is transcribed, translated into English, and placed into historical perspective by Christian Skau. This book follows on The Abel Prize: 2003-2007, The First Five Years (Springer, 2010), which profiles the work of the first Abel Prize winners.

Author : Anonim
Publisher : Unknown
Page : 770 pages
File Size : 54,6 Mb
Release : 2001
Category : Mathematics
ISBN : UVA:X006130606

Get Book

Mathematical Reviews by Anonim Pdf

Author : Charles Terence Clegg Wall,Andrew Ranicki
Publisher : American Mathematical Soc.
Page : 321 pages
File Size : 44,9 Mb
Release : 1999
Category : Manifolds (Mathematics).
ISBN : 9780821809426

Get Book

Surgery on Compact Manifolds by Charles Terence Clegg Wall,Andrew Ranicki Pdf

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.

Author : Gholam A. Peyman,Joel A. Schulman
Publisher : McGraw-Hill/Appleton & Lange
Page : 240 pages
File Size : 48,7 Mb
Release : 1995
Category : Vitreous humor substitutes
ISBN : UOM:39015034259252

Get Book

Vitreous Substitutes by Gholam A. Peyman,Joel A. Schulman Pdf

Author : Institute of Electrical and Electronics Engineers
Publisher : Unknown
Page : 1468 pages
File Size : 49,7 Mb
Release : 1995
Category : Electric engineering
ISBN : UOM:39015040325386

Get Book

Index to IEEE Publications by Institute of Electrical and Electronics Engineers Pdf

Issues for 1973- cover the entire IEEE technical literature.

Author : William Swan Sonnenschein
Publisher : Unknown
Page : 1146 pages
File Size : 52,8 Mb
Release : 1891
Category : Best books
ISBN : HARVARD:HNYX78

Get Book

The Best Books by William Swan Sonnenschein Pdf

Author : Andrew Ranicki
Publisher : Oxford University Press
Page : 396 pages
File Size : 49,7 Mb
Release : 2002
Category : Mathematics
ISBN : 0198509243

Get Book

Algebraic and Geometric Surgery by Andrew Ranicki Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 644 pages
File Size : 50,9 Mb
Release : 1883
Category : Electronic
ISBN : BSB:BSB11653125

Get Book

Boston Medical and Surgical Journal by Anonim Pdf

Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
Page : 318 pages
File Size : 40,8 Mb
Release : 2006
Category : Mathematics
ISBN : 0821838458

Get Book

Floer Homology, Gauge Theory, and Low-Dimensional Topology by Clay Mathematics Institute. Summer School Pdf

Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such connections. Historically, these equations have come from mathematical physics, and play an important role in the description of the electro-weak and strong nuclear forces. The use of gauge theory as a tool for studying topological properties of four-manifolds was pioneered by the fundamental work of Simon Donaldson in theearly 1980s, and was revolutionized by the introduction of the Seiberg-Witten equations in the mid-1990s. Since the birth of the subject, it has retained its close connection with symplectic topology. The analogy between these two fields of study was further underscored by Andreas Floer's constructionof an infinite-dimensional variant of Morse theory that applies in two a priori different contexts: either to define symplectic invariants for pairs of Lagrangian submanifolds of a symplectic manifold, or to define topological This volume is based on lecture courses and advanced seminars given at the 2004 Clay Mathematics Institute Summer School at the Alfred Renyi Institute of Mathematics in Budapest, Hungary. Several of the authors have added a considerable amount of additional material tothat presented at the school, and the resulting volume provides a state-of-the-art introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds. Information for our distributors: Titles in this seriesare copublished with the Clay Mathematics Institute (Cambridge, MA).