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Global surgery formula for the Casson-Walker 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 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, New Jersey :
Princeton University Press,
1996.
|
| Colección: | Annals of mathematics studies ;
no. 10. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn891398210 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 140830t19961996njua ob 001 0 eng d | ||
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| 066 | |c (S | ||
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| 020 | |z 9780691021324 | ||
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| 035 | |a (OCoLC)891398210 |z (OCoLC)888743940 |z (OCoLC)961647016 |z (OCoLC)962619379 | ||
| 050 | 4 | |a QA613.658 |b .L473 1996eb | |
| 082 | 0 | 4 | |a 514/.72 |2 20 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Lescop, Christine, |d 1966- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjrG9PTvKpkqwqdJP69RXb | |
| 245 | 1 | 0 | |a Global surgery formula for the Casson-Walker invariant / |c by Christine Lescop. |
| 264 | 1 | |a Princeton, New Jersey : |b Princeton University Press, |c 1996. | |
| 264 | 4 | |c ©1996 | |
| 300 | |a 1 online resource (155 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 | ||
| 490 | 1 | |a Annals of Mathematics Studies ; |v Number 10 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |6 880-01 |a Cover; Title; Copyright; Table of contents; Chapter 1: Introduction and statements of the results; 1.1 Introduction; 1.2 Conventions; 1.3 Surgery presentations and associated functions; 1.4 Introduction of the surgery formula F; 1.5 Statement of the theorem; 1.6 Sketch of the proof of the theorem and organization of the book; 1.7 Equivalent definitions for F; Chapter 2: The Alexander series of a link in a rational homology sphere and some of its properties; 2.1 The background; 2.2 A definition of the Alexander series; 2.3 A list of properties for the Alexander series. | |
| 505 | 8 | |6 880-02 |a 6.2 The formula involving the figure-eight linking6.3 Congruences and relations with the Rohlin invariant; 6.4 The surgery formula in terms of one-variable Alexander polynomials; Appendix: More about the Alexander series; A.1 Introduction; A.2 Complete definition of the Reidemeister torsion of (N, o(N)) up to positive units; A.3 Proof of the symmetry property of the Reidemeister torsion; A.4 Various properties of the Reidemeister torsion; A.5 A systematic way of computing the Alexander polynomials of links in S^3; A.6 Relations with one-variable Alexander polynomials; Bibliography. | |
| 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. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Surgery (Topology) | |
| 650 | 0 | |a Three-manifolds (Topology) | |
| 650 | 4 | |a Surgery (Topology) | |
| 650 | 4 | |a Three-manifolds (Topology) | |
| 650 | 6 | |a Chirurgie (Topologie) | |
| 650 | 6 | |a Variétés topologiques à 3 dimensions. | |
| 650 | 7 | |a Surgery (Topology) |2 fast | |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast | |
| 758 | |i has work: |a Global surgery formula for the Casson-Walker invariant (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFt9wFDcTGM8mbHPvXCBWC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Lescop, Christine, 1966- |t Global surgery formula for the Casson-Walker invariant. |d Princeton, New Jersey : Princeton University Press, ©1996 |h 150 pages |k Annals of mathematics studies ; Number 10 |z 9780691021324 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 10. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1756193 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a 2.4 Functions of the linking numbers of a link2.5 The first terms of the Alexander series; Chapter 3: Invariance of the surgery formula under a twist homeomorphism; 3.1 Introduction; 3.2 Variation of the different pieces of FM under an ω-twist: the statements; 3.3 Proofs of 3.2.13 and 3.2.16; 3.4 More linking functions: semi-open graphs and functions α; 3.5 Variation of the ζ-coefficients under an ω-twist; 3.6 Proof of 3.2.11 (variation of the piece containing the ζ-coefficients under the ω-twist); Chapter 4: The formula for surgeries starting from rational homology spheres. | |
| 880 | 8 | |6 505-02/(S |a 4.1 Introduction4.2 Sketch of the proof of Proposition T2; 4.3 Proof of Lemma 4.2.2; 4.4 Proof of Lemma 4.2.3; 4.5 Proof of Lemma 4.2.5; 4.6 The Walker surgery formula; 4.7 Comparing T2 with the Walker surgery formula; Chapter 5: The invariant λ for 3-manifolds with nonzero rank; 5.1 Introduction; 5.2 The coefficients a1 of homology unlinks in rational homology spheres (after Hoste); 5.3 Computing λ for manifolds with rank at least 2; Chapter 6: Applications and variants of the surgery formula; 6.1 Computing λ for all oriented Seifert fibered spaces using the formula. | |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1756193 | ||
| 938 | |a ebrary |b EBRY |n ebr10909209 | ||
| 994 | |a 92 |b IZTAP | ||