Classifying Spaces For Surgery And Corbordism Of Manifolds Am 92 Volume 92

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The Classifying Spaces for Surgery and Cobordism of Manifolds

Author : Ib Madsen
Publisher : Princeton University Press
ISBN 13 : 9780691082264
Total Pages : 300 pages
Book Rating : 4.0/5 (822 download)

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Book Synopsis The Classifying Spaces for Surgery and Cobordism of Manifolds by : Ib Madsen

Download or read book The Classifying Spaces for Surgery and Cobordism of Manifolds written by Ib Madsen and published by Princeton University Press. This book was released on 1979-11-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92

Author : Ib Madsen
Publisher : Princeton University Press
ISBN 13 : 1400881471
Total Pages : 296 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 by : Ib Madsen

Download or read book Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 written by Ib Madsen and published by Princeton University Press. This book was released on 2016-03-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

Geometry and Topology of Manifolds

Author : Hans U. Boden
Publisher : American Mathematical Soc.
ISBN 13 : 0821837249
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometry and Topology of Manifolds by : Hans U. Boden

Download or read book Geometry and Topology of Manifolds written by Hans U. Boden and published by American Mathematical Soc.. This book was released on 2005 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 manyexcellent talks delivered at the conference.

The Abel Prize 2008-2012

Author : Helge Holden
Publisher : Springer Science & Business Media
ISBN 13 : 3642394493
Total Pages : 561 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Abel Prize 2008-2012 by : Helge Holden

Download or read book The Abel Prize 2008-2012 written by Helge Holden and published by Springer Science & Business Media. This book was released on 2014-01-21 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Surgery on Compact Manifolds

Author : Charles Terence Clegg Wall
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.

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

Author : Sylvain Cappell
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.

Operads: Proceedings of Renaissance Conferences

Author : Jean-Louis Loday
Publisher : American Mathematical Soc.
ISBN 13 : 0821805134
Total Pages : 458 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operads: Proceedings of Renaissance Conferences by : Jean-Louis Loday

Download or read book Operads: Proceedings of Renaissance Conferences written by Jean-Louis Loday and published by American Mathematical Soc.. This book was released on 1997 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Classifyng Spaces for Surgery and Cobordism of Manifolds

Author : Ib Madesn
Publisher :
ISBN 13 :
Total Pages : 279 pages
Book Rating : 4.:/5 (82 download)

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Book Synopsis The Classifyng Spaces for Surgery and Cobordism of Manifolds by : Ib Madesn

Download or read book The Classifyng Spaces for Surgery and Cobordism of Manifolds written by Ib Madesn and published by . This book was released on 1979 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Subject Guide to Books in Print

Author :
Publisher :
ISBN 13 :
Total Pages : 2476 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Subject Guide to Books in Print by :

Download or read book Subject Guide to Books in Print written by and published by . This book was released on 1996 with total page 2476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Modeling of Topological and Computational Structures and Applications

Author : Sofia Lambropoulou
Publisher : Springer
ISBN 13 : 3319681036
Total Pages : 481 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Algebraic Modeling of Topological and Computational Structures and Applications by : Sofia Lambropoulou

Download or read book Algebraic Modeling of Topological and Computational Structures and Applications written by Sofia Lambropoulou and published by Springer. This book was released on 2017-12-14 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with particular emphasis on braid groups. The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification. This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical University of Athens, Greece in July 2015. The reader will benefit from the innovative approaches to tackling difficult questions in topology, applications and interrelated research areas, which largely employ algebraic tools.

Surveys on Surgery Theory (AM-149), Volume 2

Author : Sylvain Cappell
Publisher : Princeton University Press
ISBN 13 : 1400865212
Total Pages : 446 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Surveys on Surgery Theory (AM-149), Volume 2 by : Sylvain Cappell

Download or read book Surveys on Surgery Theory (AM-149), Volume 2 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 446 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. 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.

Prospects in Topology (AM-138), Volume 138

Author : Frank Quinn
Publisher : Princeton University Press
ISBN 13 : 1400882583
Total Pages : 340 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Prospects in Topology (AM-138), Volume 138 by : Frank Quinn

Download or read book Prospects in Topology (AM-138), Volume 138 written by Frank Quinn and published by Princeton University Press. This book was released on 2016-03-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations. The contributors include A. Adem, A. H. Assadi, M. Bökstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Lück, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.

Books in Series

Author :
Publisher :
ISBN 13 :
Total Pages : 2410 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Books in Series by :

Download or read book Books in Series written by and published by . This book was released on 1980 with total page 2410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic and Geometric Surgery

Author : Andrew Ranicki
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.

Books in Print

Author :
Publisher :
ISBN 13 :
Total Pages : 2132 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Books in Print by :

Download or read book Books in Print written by and published by . This book was released on 1994 with total page 2132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Books and Serials in Print

Author :
Publisher :
ISBN 13 :
Total Pages : 1554 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Scientific and Technical Books and Serials in Print by :

Download or read book Scientific and Technical Books and Serials in Print written by and published by . This book was released on 1984 with total page 1554 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic L-theory and Topological Manifolds

Author : Andrew Ranicki
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.