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An Extension of Casson's Invariant. (AM-126) Volume 126 by Kevin Walker Paperback | Indigo Chapters
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An Extension of Casson's Invariant. (AM-126) Volume 126 by Kevin Walker Paperback | Indigo Chapters - new book

ISBN: 9780691025322

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the sp… More...

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by Kevin Walker, PRINT ISBN: 9780691025322 E-TEXT ISBN: 9781400882465 Additional ISBNs: 0691087660, 0691025320, 9780691087665, 9780691025322 Princeton University Press eBook Other pricing… More...

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Kevin Walker:
An Extension of Casson's Invariant. (AM-126), Volume 126 - Paperback

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Paperback, [PU: Princeton University Press], Describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology … More...

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An Extension of Casson's Invariant - Walker, Kevin
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An Extension of Casson's Invariant Paperback New Books, Princeton Univ Pr

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An Extension of Casson's Invariant. (AM-126), Volume 126 - Kevin Walker
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An Extension of Casson's Invariant. (AM-126), Volume 126 - Paperback

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An Extension of Casson's Invariant. (AM-126) Volume 126 by Kevin Walker Paperback | Indigo Chapters
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9780691025322


This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W, W, F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M.

Details of the book - An Extension of Casson's Invariant. (AM-126) Volume 126 by Kevin Walker Paperback | Indigo Chapters


EAN (ISBN-13): 9780691025322
ISBN (ISBN-10): 0691025320
Paperback
Publishing year: 1992
Publisher: Kevin Walker
150 Pages
Weight: 0,218 kg
Language: eng/Englisch

Book in our database since 2007-05-23T09:57:05-04:00 (New York)
Detail page last modified on 2023-04-25T09:54:13-04:00 (New York)
ISBN/EAN: 9780691025322

ISBN - alternate spelling:
0-691-02532-0, 978-0-691-02532-2
Alternate spelling and related search-keywords:
Book author: elias stein, dedekind, andrew walker
Book title: annals mathematics, ass, casson, 126, extension 1982 2016

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