A mirror symmetric construction of qH*_T(G/P)_(q)

dc.creatorRietsch, Konstanze
dc.date2005-11-07
dc.date2007-08-22
dc.date.accessioned2026-07-07T08:24:48Z
dc.date.available2026-07-07T08:24:48Z
dc.descriptionLet G be a simple simply connected complex algebraic group. We give a Lie theoretic construction of a conjectural mirror family associated to a general flag variety G/P, and show that it recovers the Peterson variety presentation for the T-equivariant quantum cohomology rings qH*_T(G/P)_(q) with quantum parameters inverted. For SL_n/B we relate our construction to the mirror family defined by Givental and its T-equivariant analogue due to Joe and Kim.
dc.description35 pages, revised version for publication in Adv. Math., in particular includes new section on the equivariant case in type A
dc.identifierhttps://arxiv.org/abs/math/0511124
dc.identifierhttp://arxiv.org/abs/math/0511124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136468
dc.subjectAlgebraic Geometry
dc.subject20G20, 15A48
dc.titleA mirror symmetric construction of qH*_T(G/P)_(q)
dc.typetext

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