Surgery on Simply-Connected Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Surgery on Simply-Connected Manifolds write by William Browder. This book was released on 2012-12-06. Surgery on Simply-Connected Manifolds available in PDF, EPUB and Kindle. 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.
Surgery on Compact Manifolds
Surgery on Compact Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Surgery on Compact Manifolds write by Charles Terence Clegg Wall. This book was released on 1999. Surgery on Compact Manifolds available in PDF, EPUB and Kindle. 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.
The Classifying Spaces for Surgery and Cobordism of Manifolds
The Classifying Spaces for Surgery and Cobordism of Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Classifying Spaces for Surgery and Cobordism of Manifolds write by Ib Madsen. This book was released on 1979-11-21. The Classifying Spaces for Surgery and Cobordism of Manifolds available in PDF, EPUB and Kindle. 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.
Algebraic and Geometric Surgery
Algebraic and Geometric Surgery - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Surgery write by Andrew Ranicki. This book was released on 2002. Algebraic and Geometric Surgery available in PDF, EPUB and Kindle. 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.
Lectures on the h-Cobordism Theorem
Lectures on the h-Cobordism Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on the h-Cobordism Theorem write by John Milnor. This book was released on 2015-12-08. Lectures on the h-Cobordism Theorem available in PDF, EPUB and Kindle. These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally published in 1965. 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.
