Abelian analytic torsion and symplectic volume

B.D.K. McLellan

Archivum Mathematicum (2015)

  • Volume: 051, Issue: 3, page 175-187
  • ISSN: 0044-8753

Abstract

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This article studies the abelian analytic torsion on a closed, oriented, Sasakian three-manifold and identifies this quantity as a specific multiple of the natural unit symplectic volume form on the moduli space of flat abelian connections. This identification computes the analytic torsion explicitly in terms of Seifert data.

How to cite

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McLellan, B.D.K.. "Abelian analytic torsion and symplectic volume." Archivum Mathematicum 051.3 (2015): 175-187. <http://eudml.org/doc/271567>.

@article{McLellan2015,
abstract = {This article studies the abelian analytic torsion on a closed, oriented, Sasakian three-manifold and identifies this quantity as a specific multiple of the natural unit symplectic volume form on the moduli space of flat abelian connections. This identification computes the analytic torsion explicitly in terms of Seifert data.},
author = {McLellan, B.D.K.},
journal = {Archivum Mathematicum},
keywords = {analytic torsion; contact torsion; Chern-Simons theory; Sasakian three-manifold; quantum field theory},
language = {eng},
number = {3},
pages = {175-187},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Abelian analytic torsion and symplectic volume},
url = {http://eudml.org/doc/271567},
volume = {051},
year = {2015},
}

TY - JOUR
AU - McLellan, B.D.K.
TI - Abelian analytic torsion and symplectic volume
JO - Archivum Mathematicum
PY - 2015
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 051
IS - 3
SP - 175
EP - 187
AB - This article studies the abelian analytic torsion on a closed, oriented, Sasakian three-manifold and identifies this quantity as a specific multiple of the natural unit symplectic volume form on the moduli space of flat abelian connections. This identification computes the analytic torsion explicitly in terms of Seifert data.
LA - eng
KW - analytic torsion; contact torsion; Chern-Simons theory; Sasakian three-manifold; quantum field theory
UR - http://eudml.org/doc/271567
ER -

References

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