Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus

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We describe recent work on positive descriptions of the structure constants of the cohomology of homogeneous spaces such as the Grassmannian, by degenerations and related methods. We give various extensions of these rules, some new and conjectural, to K-theory, equivariant cohomology, equivariant K-theory, and quantum cohomology.
39 pages, 46 figures

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Algebraic Geometry, Combinatorics, Primary: 14M15, 14N15; Secondary: 14N10, 14C17, 14P99, 05E10, 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/117999

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610538
 http://arxiv.org/abs/math/0610538

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arXiv