Global Surgery Formula for the Casson-Walker Invariant by Christine Lescop
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Global Surgery Formula for the Casson-Walker Invariant
By Christine Lescop

Global Surgery Formula for the Casson-Walker Invariant

By (author) See other recent books by Christine Lescop
Format: Paperback

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Global Surgery Formula for the Casson-Walker Invariant by Christine Lescop

Book Description

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.

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Book Details

ISBN: 9780691021324
ISBN-10: 0691021325
Format: Paperback
(229mm x 152mm x 8mm)
Pages: 150
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 22-Dec-1995
Country of Publication: United States

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