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The Eta Invariants of Berger Spheres Weingart, Gregor
Description
The index theorem of Atiyah-Patodi-Singer describes the index of a twisted Dirac operator on an even dimensional Riemannian manifold with totally geodesic boundary as the interior integral of the usual index density and an additional contribution coming the boundary known as the eta invariant. In my talk I will describe the calculation of the eta invariants for the Berger metrics on odd dimensional spheres using a fairly explicit formula for the transgression form arising from boundaries, which are not totally geodesic.
Item Metadata
Title |
The Eta Invariants of Berger Spheres
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-12-13T12:00
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Description |
The index theorem of Atiyah-Patodi-Singer describes the index of a twisted Dirac
operator on an even dimensional Riemannian manifold with totally geodesic
boundary as the interior integral of the usual index density and an additional
contribution coming the boundary known as the eta invariant. In my talk I will
describe the calculation of the eta invariants for the Berger metrics on odd
dimensional spheres using a fairly explicit formula for the transgression form
arising from boundaries, which are not totally geodesic.
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Extent |
52 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universidad National Autónoma de Mexico
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Series | |
Date Available |
2017-06-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0348231
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International