Mendeley出力
＜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 |
| 出版情報 | Princeton : Princeton University Press , 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. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6973182 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | LESC/10/1 | 1996 |
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023211996000332 |
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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 |