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An Extension of Casson's Invariant. (AM-126), Volume 126 (Paperback, New) Loot Price: R1,544
Discovery Miles 15 440
An Extension of Casson's Invariant. (AM-126), Volume 126 (Paperback, New): Kevin Walker

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

Kevin Walker

Series: Annals of Mathematics Studies

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Loot Price R1,544 Discovery Miles 15 440 | Repayment Terms: R145 pm x 12*

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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.

General

Imprint: Princeton University Press
Country of origin: United States
Series: Annals of Mathematics Studies
Release date: March 1992
First published: March 1992
Authors: Kevin Walker
Dimensions: 235 x 152 x 7mm (L x W x T)
Format: Paperback - Trade
Pages: 150
Edition: New
ISBN-13: 978-0-691-02532-2
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 0-691-02532-0
Barcode: 9780691025322

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