Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups

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dc.creatorGivental, Alexander
dc.creatorLee, Yuan-Pin
dc.date2001-08-15
dc.date.accessioned2026-07-07T04:42:59Z
dc.date.available2026-07-07T04:42:59Z
dc.descriptionWe conjecture that appropriate K-theoretic Gromov-Witten invariants of complex flag manifolds G/B are governed by finite-difference versions of Toda systems constructed in terms of the Langlands-dual quantized universal enveloping algebras U_q(g'). The conjecture is proved in the case of classical flag manifolds of the series A. The proof is based on a refinement of the famous Atiyah-Hirzebruch argument for rigidity of arithmetical genus applied to hyperquot-scheme compactifications of spaces of rational curves in the flag manifolds.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0108105
dc.identifierhttp://arxiv.org/abs/math/0108105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62022
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14N35
dc.titleQuantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups
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