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Periods of meromorphic quadratic differentials and Goldman bracket Korotkin, Dmitry
Description
We study symplectic properties of monodromy map of second order linear equation with meromorphic potential having only simple zeros on a Riemann surface. We show that the canonical symplectic structure on the cotangent bundle $T^* Mcal_{g,n}$ implies under an appropriately defined monodromy map the Goldman Poisson structure on the corresponding character variety, thereby extending the recent results of the paper of M.Bertola, C.Norton and the author from the case of holomorphic to meromorphic potentials.
Item Metadata
Title |
Periods of meromorphic quadratic differentials and Goldman bracket
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-10-06T09:46
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Description |
We study symplectic properties of monodromy map of second order linear equation with meromorphic potential having only simple zeros on a Riemann surface. We show that the canonical symplectic structure on the cotangent bundle $T^* Mcal_{g,n}$ implies under an appropriately defined monodromy map the Goldman Poisson structure on the corresponding character variety, thereby extending the recent results of the paper of M.Bertola, C.Norton and the author from the case of holomorphic to meromorphic potentials.
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Extent |
55 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Concordia University
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Series | |
Date Available |
2017-04-07
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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 |
10.14288/1.0343496
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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 Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International