Algebraic and Geometric Surgery
By (author) Andrew Ranicki
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Algebraic and Geometric Surgery by Andrew Ranicki
Book DescriptionThis 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.
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Book DetailsISBN: 9780198509240
(242mm x 162mm x 25mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 26-Sep-2002
Country of Publication: United Kingdom
Books By Author Andrew Ranicki
Ends of Complexes, Paperback (January 2008)
A systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.
Noncommutative Localization in Algebra and Topology, Paperback (February 2006)
An introduction to noncommutative localization and an account of the state of the art suitable for researchers and graduate students.
Surveys on Surgery Theory, Paperback (January 2001)
Surgery theory is the basis for the classification theory of manifolds. This title reflects on the accomplishments of surgery theory as well as its varied interactions with algebra, analysis, and geometry. It covers the topics that include applications of surgery, Wall's finiteness obstruction, algebraic surgery, and surgery in dimension four.
Novikov Conjectures, Index Theorems, and Rigidity, Paperback (November 1995)» View all books by Andrew Ranicki
These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov conjectures, index theorems and rigidity'.
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