Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces

• 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
• 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

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...