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Abelian analytic torsion and symplectic volume

B.D.K. McLellan (2015)

Archivum Mathematicum

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.

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