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Deformation of Dirac structures via Lâ algebras Scott, Geoffrey
Description
The deformation theory of a Dirac structure is controlled by a differential graded Lie algebra (dgLa) which depends on the choice of an auxillary transverse Dirac structure. In this talk, we show that different choices of transverse Dirac structure may lead to dgLas which are not isomorphic (as dgLas), but which are isomorphic as $L_{\infty}$-algebras. We apply our results to study the Kodaira-Spencer deformation complex of a complex manifold.
Item Metadata
Title |
Deformation of Dirac structures via Lâ algebras
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-04-17T14:52
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Description |
The deformation theory of a Dirac structure is controlled by a differential graded Lie algebra (dgLa) which depends on the choice of an auxillary transverse Dirac structure. In this talk, we show that different choices of transverse Dirac structure may lead to dgLas which are not isomorphic (as dgLas), but which are isomorphic as $L_{\infty}$-algebras. We apply our results to study the Kodaira-Spencer deformation complex of a complex manifold.
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Extent |
49.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Toronto
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Series | |
Date Available |
2019-03-08
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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 |
10.14288/1.0376679
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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 Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International