Quantum cohomology of minuscule homogeneous spaces

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dc.creatorChaput, Pierre-Emmanuel
dc.creatorManivel, Laurent
dc.creatorPerrin, Nicolas
dc.date2006-07-20
dc.date2006-09-28
dc.date.accessioned2026-07-07T10:10:03Z
dc.date.available2026-07-07T10:10:03Z
dc.descriptionWe study the quantum cohomology of (co)minuscule homogeneous varieties under a unified perspective. We show that three points Gromov-Witten invariants can always be interpreted as classical intersection numbers on auxiliary varieties. Our main combinatorial tools are certain quivers, in terms of which we obtain a quantum Chevalley formula and a higher quantum Poincaré duality. In particular we compute the quantum cohomology of the two exceptional minuscule homogeneous varieties.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0607492
dc.identifierhttp://arxiv.org/abs/math/0607492
dc.identifierTransformation Groups 13, 1 (2008) 47-89
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171506
dc.subjectAlgebraic Geometry
dc.subject14M15, 14N35
dc.titleQuantum cohomology of minuscule homogeneous spaces
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