Global Surgery Formula for the Casson Walker Invariant AM 140 Volume 140 is popular PDF and ePub book, written by Christine Lescop in 2014-09-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Global Surgery Formula for the Casson Walker Invariant AM 140 Volume 140 can be Read Online from any device for your convenience.
Global Surgery Formula for the Casson Walker Invariant AM 140 Volume 140 Book PDF Summary
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.
Detail Book of Global Surgery Formula for the Casson Walker Invariant AM 140 Volume 140 PDF
- Author : Christine Lescop
- Release : 08 September 2014
- Publisher : Princeton University Press
- ISBN : 9781400865154
- Genre : Mathematics
- Total Page : 156 pages
- Language : English
- PDF File Size : 11,5 Mb
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