Abelian analytic torsion and symplectic volume
Archivum mathematicum, Tome 51 (2015) no. 3, pp. 175-187
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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.
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.
DOI :
10.5817/AM2015-3-175
Classification :
53C25, 53D10, 58J28
Keywords: analytic torsion; contact torsion; Chern-Simons theory; Sasakian three-manifold; quantum field theory
Keywords: analytic torsion; contact torsion; Chern-Simons theory; Sasakian three-manifold; quantum field theory
@article{10_5817_AM2015_3_175,
author = {McLellan, B.D.K.},
title = {Abelian analytic torsion and symplectic volume},
journal = {Archivum mathematicum},
pages = {175--187},
year = {2015},
volume = {51},
number = {3},
doi = {10.5817/AM2015-3-175},
mrnumber = {3397270},
zbl = {06487029},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2015-3-175/}
}
McLellan, B.D.K. Abelian analytic torsion and symplectic volume. Archivum mathematicum, Tome 51 (2015) no. 3, pp. 175-187. doi: 10.5817/AM2015-3-175
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