Poisson geometry of parabolic bundles on Elliptic curves

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dc.creatorBalduzzi, David
dc.date2006-07-03
dc.date2007-11-17
dc.date.accessioned2026-07-07T08:43:13Z
dc.date.available2026-07-07T08:43:13Z
dc.descriptionThe 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 $\SL_2$ perform explicit computations, describing the bracket and its leaves in detail.
dc.descriptionFinal version: typos fixed, some re-organization; to appear IJM
dc.identifierhttps://arxiv.org/abs/math/0607061
dc.identifierhttp://arxiv.org/abs/math/0607061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142236
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14H60, 53D17, 53D20
dc.titlePoisson geometry of parabolic bundles on Elliptic curves
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