Adiabatic Limit, Heat Kernel and Analytic Torsion

Author(s)
Dai, Xianzhe; Melrose, Richard B
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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
Date issued
2012-05
URI
http://hdl.handle.net/1721.1/115911
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISBN
978-3-0348-0256-7
978-3-0348-0257-4
ISSN
0743-1643
2296-505X
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