Global surgery formula for the Casson-Walker invariant (AM-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 co...

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Autor principal: Lescop, Christine
Lenguaje:eng
Publicado: Princeton University Press 2014
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1953257
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author Lescop, Christine
author_facet Lescop, Christine
author_sort Lescop, Christine
collection CERN
description 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
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institution Organización Europea para la Investigación Nuclear
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publishDate 2014
publisher Princeton University Press
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spelling cern-19532572021-04-21T20:51:58Zhttp://cds.cern.ch/record/1953257engLescop, ChristineGlobal surgery formula for the Casson-Walker invariant (AM-140)Mathematical Physics and Mathematics 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-dimensionalPrinceton University Pressoai:cds.cern.ch:19532572014
spellingShingle Mathematical Physics and Mathematics
Lescop, Christine
Global surgery formula for the Casson-Walker invariant (AM-140)
title Global surgery formula for the Casson-Walker invariant (AM-140)
title_full Global surgery formula for the Casson-Walker invariant (AM-140)
title_fullStr Global surgery formula for the Casson-Walker invariant (AM-140)
title_full_unstemmed Global surgery formula for the Casson-Walker invariant (AM-140)
title_short Global surgery formula for the Casson-Walker invariant (AM-140)
title_sort global surgery formula for the casson-walker invariant (am-140)
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1953257
work_keys_str_mv AT lescopchristine globalsurgeryformulaforthecassonwalkerinvariantam140

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