Geodesic
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.
DOI : 10.5817/AM2015-3-175
Classification : 53C25, 53D10, 58J28
Keywords: analytic torsion; contact torsion; Chern-Simons theory; Sasakian three-manifold; quantum field theory 
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     title = {Abelian analytic torsion and symplectic volume},
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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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