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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2022 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211813 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862668811665145856 |
|---|---|
| author | Kitaoka, Akira |
| author_facet | Kitaoka, Akira |
| citation_txt | Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces. Akira Kitaoka. SIGMA 18 (2022), 091, 16 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-16T12:21:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211813 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T12:21:46Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kitaoka, Akira 2026-01-12T10:16:09Z 2022 Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces. Akira Kitaoka. SIGMA 18 (2022), 091, 16 pages 1815-0659 2020 Mathematics Subject Classification: 58J52; 32V20; 53D10; 43A85 arXiv:2009.03276 https://nasplib.isofts.kiev.ua/handle/123456789/211813 https://doi.org/10.3842/SIGMA.2022.091 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. The author is grateful to his supervis or, Professor Kengo Hirachi, for introducing this subject and for helpful comments. This work was supported by the program for Leading Graduate Schools, MEXT, Japan. The author also thanks the referees for their valuable comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces Article published earlier |
| spellingShingle | Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces Kitaoka, Akira |
| title | Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces |
| title_full | Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces |
| title_fullStr | Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces |
| title_full_unstemmed | Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces |
| title_short | Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces |
| title_sort | ray-singer torsion and the rumin laplacian on lens spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211813 |
| work_keys_str_mv | AT kitaokaakira raysingertorsionandtheruminlaplacianonlensspaces |