Quantizations of Hitchin and Beauville-Mukai integrable systems

Simple item page
dc.creatorEnriquez, B.
dc.creatorRubtsov, V.
dc.date2002-09-23
dc.date.accessioned2026-07-07T04:51:08Z
dc.date.available2026-07-07T04:51:08Z
dc.descriptionSpectral transformation is known to set up a birational morphism between the Hitchin and Beauville-Mukai integrable systems. The corresponding phase spaces are: (a) the cotangent bundle of the moduli space of bundles over a curve C, and (b) a symmetric power of the cotangent surface T^*(C). We conjecture that this morphism can be quantized, and we check this conjecture in the case where C is a rational curve with marked points and rank 2 bundles. We discuss the relation of the resulting isomorphism of quantized algebras with Sklyanin's separation of variables.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0209294
dc.identifierhttp://arxiv.org/abs/math/0209294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65036
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleQuantizations of Hitchin and Beauville-Mukai integrable systems
dc.typetext

Files

Collections

arXiv