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Monopoles and hyper-Poisson bivectors Bielawski, Roger
Description
It is well-known that the Riemannian geometry of the moduli space of Euclidean SU(2)-monopoles of charge $k$ is determined by spectral curves of monopoles. I had often wondered whether there is a purely differential-geometric explanation of this fact, i.e. whether there exists an infinitesimal object on the moduli space which makes it so. I shall show that the answer is yes, and that the object in question is what I call a hyper-Poisson bivector, i.e. a bivector which induces, for each complex structure, a Poisson structure on holomorphic functions, compatible with the respective complex-symplectic form.
Item Metadata
Title |
Monopoles and hyper-Poisson bivectors
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2021-02-01T09:10
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Description |
It is well-known that the Riemannian geometry of the moduli space of Euclidean SU(2)-monopoles of charge $k$ is determined by spectral curves of monopoles. I had often wondered whether there is a purely differential-geometric explanation of this fact, i.e. whether there exists an infinitesimal object on the moduli space which makes it so. I shall show that the answer is yes, and that the object in question is what I call a hyper-Poisson bivector, i.e. a bivector which induces, for each complex structure, a Poisson structure on holomorphic functions, compatible with the respective complex-symplectic form.
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Extent |
48.0 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 Hannover
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Series | |
Date Available |
2021-08-01
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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 |
10.14288/1.0401125
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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 Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International