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

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

2006-10-18

arxiv.org/abs/math/0610538v1

Mathematics

Algebraic Geometry

39 pages, 46 figures

Scientific paper

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.

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