On Chern-Simons Matrix Models

The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ can be expressed in some cases in terms of matrix integrals. We show that the U(N) evaluation of the LMO invariant of any rational homology sphere admits a matrix model representation which agrees...

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Detalles Bibliográficos
Autores principales: Garoufalidis, Stavros, Marino, Marcos
Lenguaje:eng
Publicado: 2006
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/922695
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author Garoufalidis, Stavros
Marino, Marcos
author_facet Garoufalidis, Stavros
Marino, Marcos
author_sort Garoufalidis, Stavros
collection CERN
description The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ can be expressed in some cases in terms of matrix integrals. We show that the U(N) evaluation of the LMO invariant of any rational homology sphere admits a matrix model representation which agrees with the Chern-Simons matrix integral for Seifert spheres and the trivial connection.
id cern-922695
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
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spelling cern-9226952023-03-15T19:11:07Zhttp://cds.cern.ch/record/922695engGaroufalidis, StavrosMarino, MarcosOn Chern-Simons Matrix ModelsMathematical Physics and MathematicsThe contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ can be expressed in some cases in terms of matrix integrals. We show that the U(N) evaluation of the LMO invariant of any rational homology sphere admits a matrix model representation which agrees with the Chern-Simons matrix integral for Seifert spheres and the trivial connection.math.GT/0601390CERN-PH-TH-2006-015oai:cds.cern.ch:9226952006-01-16
spellingShingle Mathematical Physics and Mathematics
Garoufalidis, Stavros
Marino, Marcos
On Chern-Simons Matrix Models
title On Chern-Simons Matrix Models
title_full On Chern-Simons Matrix Models
title_fullStr On Chern-Simons Matrix Models
title_full_unstemmed On Chern-Simons Matrix Models
title_short On Chern-Simons Matrix Models
title_sort on chern-simons matrix models
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/922695
work_keys_str_mv AT garoufalidisstavros onchernsimonsmatrixmodels
AT marinomarcos onchernsimonsmatrixmodels

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