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Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140 /
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 con...
| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
1996.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 020 | |a 9781400865154 | ||
| 020 | |z 9780691021324 | ||
| 020 | |z 9780691021331 | ||
| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Lescop, Christine, |d 1966- | |
| 245 | 1 | 0 | |a Global Surgery Formula for the Casson-Walker Invariant. (AM-140), Volume 140 / |c by Christine Lescop. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 1996. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©1996. | |
| 300 | |a 1 online resource: |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Annals of mathematics studies ; |v number 140 | |
| 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. | |
| 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. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 7 | |a Varietes topologiques à 3 dimensions. |2 ram | |
| 650 | 7 | |a Chirurgie (Topologie) |2 ram | |
| 650 | 1 | 7 | |a Chirurgie (topologie) |2 gtt |
| 650 | 1 | 7 | |a Manifolds. |2 gtt |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast |0 (OCoLC)fst01150339 | |
| 650 | 7 | |a Surgery (Topology) |2 fast |0 (OCoLC)fst01139395 | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 6 | |a Varietes topologiques à 3 dimensions. | |
| 650 | 6 | |a Chirurgie (Topologie) | |
| 650 | 0 | |a Three-manifolds (Topology) | |
| 650 | 0 | |a Surgery (Topology) | |
| 655 | 7 | |a Electronic books. |2 local | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/34689/ |
| 945 | |a Project MUSE - Custom Collection | ||