Non-Fiction Books:

Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140

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Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140 by Christine Lescop
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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.

Author Biography

Christine Lescop is Researcher in Mathematics at the Centre National de la Recherche Scientifique at the Institut Fourier in Grenoble, France.
Release date Australia
December 22nd, 1995
Country of Publication
United States
Imprint
Princeton University Press
Pages
150
Dimensions
152x229x8
ISBN-13
9780691021324
Product ID
2800867

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