Towards a Global Springer Theory II: the double affine action

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dc.creatorYun, Zhiwei
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:07:12Z
dc.date.available2026-07-07T13:07:12Z
dc.descriptionWe construct an action of the graded double affine Hecke algebra (DAHA) on the parabolic Hitchin complex, extending the affine Weyl group action constructed in \cite{GSI}. In particular, we get representations of the degenerate DAHA on the cohomology of parabolic Hitchin fibers. We also generalize our construction to {\em parahoric} versions of Hitchin stacks, including the construction of 'tHooft operators as a special case. We then study the interaction of the DAHA action and the cap product action given by the Picard stack acting on the parabolic Hitchin stack.
dc.description47 pages
dc.identifierhttps://arxiv.org/abs/0904.3371
dc.identifierhttp://arxiv.org/abs/0904.3371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228012
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14H60; 20C08; 17B67; 20F55
dc.titleTowards a Global Springer Theory II: the double affine action
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