Global surgery formula for the Casson-Walker invariant:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[1996]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 140 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (150p.) |
| ISBN: | 9781400865154 |
| DOI: | 10.1515/9781400865154 |
Internformat
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| 100 | 1 | |a Lescop, Christine |d 1966- |0 (DE-588)172961254 |4 aut | |
| 245 | 1 | 0 | |a Global surgery formula for the Casson-Walker invariant |c Christine Lescop |
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c [1996] | |
| 264 | 4 | |c © 1996 | |
| 300 | |a 1 Online-Ressource (150p.) | ||
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| 490 | 1 | |a Annals of Mathematics Studies |v number 140 | |
| 500 | |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 | 4 | |a Mathematik | |
| 650 | 4 | |a Surgery (Topology) | |
| 650 | 4 | |a Three-manifolds (Topology) | |
| 650 | 0 | 7 | |a Casson-Invariante |0 (DE-588)4314105-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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| author | Lescop, Christine 1966- |
| author_GND | (DE-588)172961254 |
| author_facet | Lescop, Christine 1966- |
| author_role | aut |
| author_sort | Lescop, Christine 1966- |
| author_variant | c l cl |
| building | Verbundindex |
| bvnumber | BV042524172 |
| classification_rvk | SI 830 SK 300 SK 350 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (OCoLC)891398210 (DE-599)BVBBV042524172 |
| dewey-full | 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400865154 |
| format | Electronic eBook |
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| id | DE-604.BV042524172 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:24:04Z |
| institution | BVB |
| isbn | 9781400865154 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027958511 |
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| physical | 1 Online-Ressource (150p.) |
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| publishDate | 1996 |
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| publishDateSort | 1996 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Lescop, Christine 1966- (DE-588)172961254 aut Global surgery formula for the Casson-Walker invariant Christine Lescop Princeton, N.J. Princeton University Press [1996] © 1996 1 Online-Ressource (150p.) txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 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 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 In English Mathematik Surgery (Topology) Three-manifolds (Topology) Casson-Invariante (DE-588)4314105-5 gnd rswk-swf Casson-Invariante (DE-588)4314105-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-691-02132-4 Annals of Mathematics Studies number 140 (DE-604)BV040389493 140 https://doi.org/10.1515/9781400865154?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lescop, Christine 1966- Global surgery formula for the Casson-Walker invariant Annals of Mathematics Studies Mathematik Surgery (Topology) Three-manifolds (Topology) Casson-Invariante (DE-588)4314105-5 gnd |
| subject_GND | (DE-588)4314105-5 |
| title | Global surgery formula for the Casson-Walker invariant |
| title_auth | Global surgery formula for the Casson-Walker invariant |
| title_exact_search | Global surgery formula for the Casson-Walker invariant |
| title_full | Global surgery formula for the Casson-Walker invariant Christine Lescop |
| title_fullStr | Global surgery formula for the Casson-Walker invariant Christine Lescop |
| title_full_unstemmed | Global surgery formula for the Casson-Walker invariant Christine Lescop |
| title_short | Global surgery formula for the Casson-Walker invariant |
| title_sort | global surgery formula for the casson walker invariant |
| topic | Mathematik Surgery (Topology) Three-manifolds (Topology) Casson-Invariante (DE-588)4314105-5 gnd |
| topic_facet | Mathematik Surgery (Topology) Three-manifolds (Topology) Casson-Invariante |
| url | https://doi.org/10.1515/9781400865154?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT lescopchristine globalsurgeryformulaforthecassonwalkerinvariant |