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Positivity and Kleiman transversality in equivariant K -theory of homogeneous spaces

Dave AndersonStephen GriffethEzra Miller — 2011

Journal of the European Mathematical Society

We prove the conjectures of Graham–Kumar [GrKu08] and Griffeth–Ram [GrRa04] concerning the alternation of signs in the structure constants for torus-equivariant K -theory of generalized flag varieties G / P . These results are immediate consequences of an equivariant homological Kleiman transversality principle for the Borel mixing spaces of homogeneous spaces, and their subvarieties, under a natural group action with finitely many orbits. The computation of the coefficients in the expansion of the equivariant...

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