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Surgery With Coefficients
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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.
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.
Book Synopsis Surgery on Simply-Connected Manifolds by : William Browder
Download or read book Surgery on Simply-Connected Manifolds written by William Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces.
Book Synopsis Surgery on Contact 3-Manifolds and Stein Surfaces by : Burak Ozbagci
Download or read book Surgery on Contact 3-Manifolds and Stein Surfaces written by Burak Ozbagci and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about an investigation of recent developments in the field of sympletic and contact structures on four- and three-dimensional manifolds from a topologist’s point of view. In it, two main issues are addressed: what kind of sympletic and contact structures we can construct via surgery theory and what kind of sympletic and contact structures are not allowed via gauge theory and the newly invented Heegaard-Floer theory.
Book Synopsis Advance Data from Vital & Health Statistics of the National Center for Health Statistics by :
Download or read book Advance Data from Vital & Health Statistics of the National Center for Health Statistics written by and published by . This book was released on 1976 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140 by : Christine Lescop
Download or read book Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140 written by Christine Lescop and published by Princeton University Press. This book was released on 2014-09-08 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S 3. In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S 3 is described, and it is proven that F consistently defines an invariant, lamda (l), of closed oriented 3-manifolds. l is then expressed in terms of previously known invariants of 3-manifolds. For integral homology spheres, l is the invariant introduced by Casson in 1985, which allowed him to solve old and famous questions in 3-dimensional topology. l becomes simpler as the first Betti number increases. As an explicit function of Alexander polynomials and surgery coefficients of framed links, the function F extends in a natural way to framed links in rational homology spheres. It is proven that F describes the variation of l under any surgery starting from a rational homology sphere. Thus F yields a global surgery formula for the Casson invariant.
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.
Book Synopsis The Geometry and Topology of Three-Manifolds by : William P. Thurston
Download or read book The Geometry and Topology of Three-Manifolds written by William P. Thurston and published by American Mathematical Society. This book was released on 2022-07-19 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
Book Synopsis JACM on Ambulatory Surgery by : Seth B. Goldsmith
Download or read book JACM on Ambulatory Surgery written by Seth B. Goldsmith and published by Jones & Bartlett Learning. This book was released on 1994-12 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles features information on planning & development issues, financial issues, & managerial issues surrounding ambulatory surgery. Case studies provide an inside look at the actual experiences of four ambulatory surgery programs. Ambulatory care professionals, administrators, & students will find this resource invaluable. This book is attractively priced in soft cover.
Download or read book Knots 90 written by Akio Kawauchi and published by Walter de Gruyter. This book was released on 1992 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vital and Health Statistics written by and published by . This book was released on 1989 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Updates in ocular therapeutics and surgery by : Georgios Panos
Download or read book Updates in ocular therapeutics and surgery written by Georgios Panos and published by Frontiers Media SA. This book was released on 2023-03-16 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bioengineering Solutions in Surgery: Advances, applications and solutions for clinical translation by : Claudia Di Bella
Download or read book Bioengineering Solutions in Surgery: Advances, applications and solutions for clinical translation written by Claudia Di Bella and published by Frontiers Media SA. This book was released on 2022-02-22 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Surgery with Coefficients by : Gerald A. Anderson
Download or read book Surgery with Coefficients written by Gerald A. Anderson and published by Springer. This book was released on 2006-11-14 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Clay Mathematics Institute. Summer School Publisher :American Mathematical Soc. ISBN 13 :9780821838457 Total Pages :318 pages Book Rating :4.8/5 (384 download)
Book Synopsis Floer Homology, Gauge Theory, and Low-Dimensional Topology by : Clay Mathematics Institute. Summer School
Download or read book Floer Homology, Gauge Theory, and Low-Dimensional Topology written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2006 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
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.
Book Synopsis International Abstracts of Surgery by :
Download or read book International Abstracts of Surgery written by and published by . This book was released on 1914 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: