Global surgery formula for the Casson-Walker invariant /
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| Author / Creator: | Lescop, Christine, 1966- |
|---|---|
| Imprint: | Princeton : Princeton University Press, 1996. |
| Description: | 1 online resource (150 pages) : illustrations |
| Language: | English |
| Series: | Annals of mathematics studies ; number 140 Annals of mathematics studies ; no. 140. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11276527 |
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| 100 | 1 | |a Lescop, Christine, |d 1966- |0 http://id.loc.gov/authorities/names/n95101969 | |
| 245 | 1 | 0 | |a Global surgery formula for the Casson-Walker invariant / |c by Christine Lescop. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 1996. | |
| 300 | |a 1 online resource (150 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Annals of mathematics studies ; |v number 140 | |
| 504 | |a Includes bibliographical references (pages 147-148) and index. | ||
| 505 | 0 | |a Ch. 1. Introduction and statements of the results -- Ch. 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Ch. 3. Invariance of the surgery formula under a twist homeomorphism -- Ch. 4. The formula for surgeries starting from rational homology spheres -- Ch. 5. The invariant [lambda] for 3-manifolds with nonzero rank -- Ch. 6. Applications and variants of the surgery formula -- Appendix: More about the Alexander series. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 650 | 0 | |a Surgery (Topology) |0 http://id.loc.gov/authorities/subjects/sh85130792 | |
| 650 | 0 | |a Three-manifolds (Topology) |0 http://id.loc.gov/authorities/subjects/sh85135028 | |
| 650 | 6 | |a Chirurgie (Topologie) | |
| 650 | 6 | |a Variétés topologiques à 3 dimensions. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Surgery (Topology) |2 fast |0 (OCoLC)fst01139395 | |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast |0 (OCoLC)fst01150339 | |
| 650 | 1 | 7 | |a Manifolds. |2 gtt |
| 650 | 1 | 7 | |a Chirurgie (topologie) |2 gtt |
| 650 | 7 | |a Chirurgie (Topologie) |2 ram | |
| 650 | 7 | |a Variétés topologiques à 3 dimensions. |2 ram | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Lescop, Christine, 1966- |t Global surgery formula for the Casson-Walker invariant |z 0691021333 |w (DLC) 95045797 |w (OCoLC)33406805 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 140. |0 http://id.loc.gov/authorities/names/n42002129 | |
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