Quantum cohomology of minuscule homogeneous spaces

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We 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.
33 pages

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Algebraic Geometry, 14M15, 14N35

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http://salesiana.dossiersoluciones.com/handle/123456789/171506

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607492
 http://arxiv.org/abs/math/0607492
 Transformation Groups 13, 1 (2008) 47-89

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arXiv