Adiabatic Limit, Heat Kernel and Analytic Torsion
We study the uniform behavior of the heat kernel under the adiabatic limit using microlocal analysis and apply it to derive a formula for the analytic torsion. Keywords: adiabatic limit; heat kernel; singularity; microlocal analysis; analytic torsion
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| Format: | Article |
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Springer
2018
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| Online Access: | http://hdl.handle.net/1721.1/115911 https://orcid.org/0000-0002-1494-8228 |
| _version_ | 1826210215310131200 |
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| author | Dai, Xianzhe Melrose, Richard B |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Dai, Xianzhe Melrose, Richard B |
| author_sort | Dai, Xianzhe |
| collection | MIT |
| description | We study the uniform behavior of the heat kernel under the adiabatic limit using microlocal analysis and apply it to derive a formula for the analytic torsion. Keywords: adiabatic limit; heat kernel; singularity; microlocal analysis; analytic torsion |
| first_indexed | 2024-09-23T14:46:16Z |
| format | Article |
| id | mit-1721.1/115911 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:46:16Z |
| publishDate | 2018 |
| publisher | Springer |
| record_format | dspace |
| spelling | mit-1721.1/1159112022-10-01T22:21:24Z Adiabatic Limit, Heat Kernel and Analytic Torsion Dai, Xianzhe Melrose, Richard B Massachusetts Institute of Technology. Department of Mathematics Melrose, Richard B We study the uniform behavior of the heat kernel under the adiabatic limit using microlocal analysis and apply it to derive a formula for the analytic torsion. Keywords: adiabatic limit; heat kernel; singularity; microlocal analysis; analytic torsion 2018-05-25T19:26:31Z 2018-05-25T19:26:31Z 2012-05 2018-05-25T18:10:19Z Article http://purl.org/eprint/type/JournalArticle 978-3-0348-0256-7 978-3-0348-0257-4 0743-1643 2296-505X http://hdl.handle.net/1721.1/115911 Dai, Xianzhe and Richard B. Melrose. “Adiabatic Limit, Heat Kernel and Analytic Torsion.” Metric and Differential Geometry (May 2012): 233–298 © 2012 Springer Basel https://orcid.org/0000-0002-1494-8228 http://dx.doi.org/10.1007/978-3-0348-0257-4_9 Metric and Differential Geometry Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer Other univ. web domain |
| spellingShingle | Dai, Xianzhe Melrose, Richard B Adiabatic Limit, Heat Kernel and Analytic Torsion |
| title | Adiabatic Limit, Heat Kernel and Analytic Torsion |
| title_full | Adiabatic Limit, Heat Kernel and Analytic Torsion |
| title_fullStr | Adiabatic Limit, Heat Kernel and Analytic Torsion |
| title_full_unstemmed | Adiabatic Limit, Heat Kernel and Analytic Torsion |
| title_short | Adiabatic Limit, Heat Kernel and Analytic Torsion |
| title_sort | adiabatic limit heat kernel and analytic torsion |
| url | http://hdl.handle.net/1721.1/115911 https://orcid.org/0000-0002-1494-8228 |
| work_keys_str_mv | AT daixianzhe adiabaticlimitheatkernelandanalytictorsion AT melroserichardb adiabaticlimitheatkernelandanalytictorsion |