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Skeleta of Weinstein manifolds Starkston, Laura
Description
The Floer theory of a cotangent fiber in a symplectic cotangent bundle T*M can be understood via the topology of the manifold M. More generally, a Weinstein manifold has a core isotropic skeleton and we can try to understand the symplectic topology of the Weinstein manifold in terms of the topology of the skeleton. Unfortunately, generically the skeleton has singularities which make its topology difficult to understand and which lead to loss of information. We will discuss a nice minimal set of singularities which we can understand combinatorially, and try to show that all Weinstein manifolds can be deformed to have a skeleton with only these nice singularities. These singularities coincide with Nadler’s “arboreal singularities” where Floer theoretic calculations can locally be done combinatorially.
Item Metadata
Title |
Skeleta of Weinstein manifolds
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-08-04T09:18
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Description |
The Floer theory of a cotangent fiber in a symplectic cotangent bundle T*M can be understood via the topology of the manifold M. More generally, a Weinstein manifold has a core isotropic skeleton and we can try to understand the symplectic topology of the Weinstein manifold in terms of the topology of the skeleton. Unfortunately, generically the skeleton has singularities which make its topology difficult to understand and which lead to loss of information. We will discuss a nice minimal set of singularities which we can understand combinatorially, and try to show that all Weinstein manifolds can be deformed to have a skeleton with only these nice singularities. These singularities coincide with Nadler’s “arboreal singularities” where Floer theoretic calculations can locally be done combinatorially.
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Extent |
69 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Stanford
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Series | |
Date Available |
2018-02-01
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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 |
10.14288/1.0363341
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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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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International