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  Poisson Geometry of Parabolic Bundles on Elliptic Curves

Balduzzi, D. (2008). Poisson Geometry of Parabolic Bundles on Elliptic Curves. International Journal of Mathematics, 19(3), 339-367. doi:10.1142/S0129167X08004704.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-CA2B-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-CA2C-4
Genre: Journal Article

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Balduzzi, D1, Author           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 Abstract: The moduli space of G-bundles on an elliptic curve with additional flag structure admits a Poisson structure. The bivector can be defined using double loop group, loop group and sheaf cohomology constructions. We investigate the links between these methods and for the case SL2 perform explicit computations, describing the bracket and its leaves in detail.

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 Dates: 2008-03
 Publication Status: Issued
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 Identifiers: URI: http://www.worldscinet.com/ijm/19/1903/S0129167X08004704.html
DOI: 10.1142/S0129167X08004704
BibTex Citekey: Balduzzi2008
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Title: International Journal of Mathematics
Source Genre: Journal
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Pages: - Volume / Issue: 19 (3) Sequence Number: - Start / End Page: 339 - 367 Identifier: -