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A Gutzwiller type trace formula for the magnetic Dirac operator Savale, Nikhil

Description

For manifolds including metric-contact manifolds with non-resonant Reeb flow, we prove a Gutzwiller type trace formula for the associated magnetic Dirac operator involving contributions from Reeb orbits on the base. As an application, we prove a semiclassical limit formula for the eta invariant.

Item Metadata

Title
A Gutzwiller type trace formula for the magnetic Dirac operator
Creator
Savale, Nikhil
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2018-04-18T09:49
Description
For manifolds including metric-contact manifolds with non-resonant Reeb flow, we prove a Gutzwiller type trace formula for the associated magnetic Dirac operator involving contributions from Reeb orbits on the base. As an application, we prove a semiclassical limit formula for the eta invariant.
Extent
48 minutes
Subject
Mathematics; Differential geometry; Topological groups, lie groups
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Universität zu Köln
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2018-10-15
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0372802
URI
http://hdl.handle.net/2429/67577
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International