Positivity in equivariant Schubert calculus

William Graham

Type: Article

Publication Date: 2001-09-15

Citations: 124

DOI: https://doi.org/10.1215/s0012-7094-01-10935-6

Abstract

We prove a positivity property for the cup product in the T-equivariant cohomology of the flag variety. This was conjectured by D. Peterson and has as a consequence a conjecture of S. Billey. The result for the flag variety follows from a more general result about algebraic varieties with an action of a solvable linear algebraic group such that the unipotent radical acts with finitely many orbits. The methods are those used by S. Kumar and M. Nori.

Locations

Duke Mathematical Journal - View
arXiv (Cornell University) - PDF

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