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W-algebras, topological recursion and higher Airy structures Chidambaram, Nitin Kumar
Description
Generating functions of various enumerative invariants in algebraic geometry often satisfy Virasoro constraints. It was recently discovered by Kontsevich and Soibelman that the recursive relations of the Eynard-Orantin topological recursion can be recast as a set of Virasoro constraints, which they called Airy structures. I will talk about our generalization of their notion to "higher Airy structures", and realize the Bouchard-Eynard topological recursion as a set of W-algebra constraints. I will also mention some other higher Airy structures that we can produce in other geometric contexts.
Item Metadata
Title |
W-algebras, topological recursion and higher Airy structures
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-05-12T11:12
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Description |
Generating functions of various enumerative invariants in algebraic geometry often satisfy Virasoro constraints. It was recently discovered by Kontsevich and Soibelman that the recursive relations of the Eynard-Orantin topological recursion can be recast as a set of Virasoro constraints, which they called Airy structures. I will talk about our generalization of their notion to "higher Airy structures", and realize the Bouchard-Eynard topological recursion as a set of W-algebra constraints. I will also mention some other higher Airy structures that we can produce in other geometric contexts.
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Extent |
28.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Alberta
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Series | |
Date Available |
2019-11-09
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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 |
10.14288/1.0385140
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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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