Quantum cohomology of minuscule homogeneous spaces III : semi-simplicity and consequences

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dc.creatorChaput, Pierre-Emmanuel
dc.creatorManivel, Laurent
dc.creatorPerrin, Nicolas
dc.date2007-10-05
dc.date.accessioned2026-07-07T08:34:25Z
dc.date.available2026-07-07T08:34:25Z
dc.descriptionWe prove that the quantum cohomology ring of any minuscule or cominuscule homogeneous space, specialized at q=1, is semisimple. This implies that complex conjugation defines an algebra automorphism of the quantum cohomology ring localized at the quantum parameter. We check that this involution coincides with the strange duality defined in a previous paper. We deduce Vafa-Intriligator type formulas for the Gromov-Witten invariants.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0710.1224
dc.identifierhttp://arxiv.org/abs/0710.1224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139428
dc.subjectAlgebraic Geometry
dc.subject14M15; 14N35
dc.titleQuantum cohomology of minuscule homogeneous spaces III : semi-simplicity and consequences
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