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About Global Surgery Formula for the Casson-Walker Invariant. (Am-140), Volume 140
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 S3. In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S3 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.
Detailed Information
| Author: | Christine Lescop |
|---|---|
| Publication Year: | 1995 |
| ISBN: | 9781400865154 |
| Pages: | 155 |
| Language: | English |
| File Size: | 6.7 |
| Format: | |
| Price: | FREE |
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