Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces

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 Ra...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Author: Kitaoka, Akira
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211813
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces. Akira Kitaoka. SIGMA 18 (2022), 091, 16 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine