Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140) - Image 1

£55.56

Princeton University Press Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)

Name: Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)
Brand: Princeton University Press
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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. About the Author Christine Lescop is Researcher in Mathematics at the Centre National de la Recherche Scientifique at the Institut Fourier in Grenoble, France.

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Brand: Princeton University Press
Format: paperback
ASIN: 0691021325
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Publication Date: 11 January 1996
Listed Since: 17 October 2006

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Princeton University Press Global Surgery Formula for the Casson-Walker Invariant. (Annals of Mathematics Studies-140)

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