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<図書>
Global surgery formula for the Casson-Walker invariant

責任表示 by Christine Lescop
シリーズ Annals of mathematics studies ; no. 140
データ種別 図書
出版者 Princeton : Princeton University Press
出版年 1996
本文言語 英語
大きさ 150 p. : ill. ; 25 cm
概要 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 Ca...son-Walker Invariant, a function F of framed links in S3 is described, and it is proven that AE 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.
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 AE 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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所蔵情報


理系図3F 数理独自 023211996000332 LESC/10/1 1996

書誌詳細

一般注記 Includes bibliography (p. [147]-148) and index
著者標目 *Lescop, Christine, 1966-
件 名 LCSH:Surgery (Topology)
LCSH:Three-manifolds (Topology)
分 類 NDC8:415.5
NDC8:410.5
NDC9:415.5
LCC:QA613.658
DC20:514/.72
書誌ID 1001404219
ISBN 0691021333
NCID BA26927980
巻冊次 ISBN:0691021333
: pbk ; ISBN:0691021325
登録日 2009.11.02
更新日 2009.11.02

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