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Global Surgery Formula for the Casson-Walker Invariant. (Am-140) (in English)
Christine Lescop (Author)
·
Princeton University Press
· Paperback
Global Surgery Formula for the Casson-Walker Invariant. (Am-140) (in English) - Christine Lescop
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Synopsis "Global Surgery Formula for the Casson-Walker Invariant. (Am-140) (in English)"
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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The book is written in English.
The binding of this edition is Paperback.
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