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The Yamabe invariant of Inoue surfaces Albanese, Michael
Description
The Yamabe invariant is a real-valued diffeomorphism invariant coming from Riemannian geometry. Using Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a Kähler surface is determined by its Kodaira dimension. We show that the Yamabe invariant of Inoue surfaces and their blowups is zero which demonstrates that the non-Kähler analogue of LeBrun's theorem does not hold.
Item Metadata
| Title |
The Yamabe invariant of Inoue surfaces
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-10-29T16:51
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| Description |
The Yamabe invariant is a real-valued diffeomorphism invariant coming from Riemannian geometry. Using Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a Kähler surface is determined by
its Kodaira dimension. We show that the Yamabe invariant of Inoue surfaces
and their blowups is zero which demonstrates that the non-Kähler analogue of
LeBrun's theorem does not hold.
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| Extent |
61.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: UQAM
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| Series | |
| Date Available |
2020-04-27
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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 |
10.14288/1.0389988
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International