Adiabatic Limit, Heat Kernel and Analytic Torsion
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Author(s)
Dai, Xianzhe
Melrose, Richard B
Date Issued
May 2012
Journal
Metric and Differential Geometry
Publisher
Springer
Citation
Dai, Xianzhe and Richard B. Melrose. “Adiabatic Limit, Heat Kernel and Analytic Torsion.” Metric and Differential Geometry (May 2012): 233–298 © 2012 Springer Basel
Version
Author's final manuscript
Abstract
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-3-0348-0257-4_9
