Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces

Published 4 Sep 2020 in math.DG, math.CV, and math.SG | (2009.03276v6)

Abstract: We express explicitly the analytic torsion functions associated with the Rumin complex on lens spaces in terms of the Hurwitz zeta function. In particular, we find that the functions vanish at the origin and determine the analytic torsions. Moreover, we have a formula between this torsion and the Ray-Singer torsion.

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Akira Kitaoka

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