15 September 2001 Positivity in equivariant Schubert calculus
William Graham
Duke Math. J. 109(3): 599-614 (15 September 2001). DOI: 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.

Citation

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William Graham. "Positivity in equivariant Schubert calculus." Duke Math. J. 109 (3) 599 - 614, 15 September 2001. https://doi.org/10.1215/S0012-7094-01-10935-6

Information

Published: 15 September 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1069.14055
MathSciNet: MR1853356
Digital Object Identifier: 10.1215/S0012-7094-01-10935-6

Subjects:
Primary: 14M17
Secondary: 14C17 , 14F43 , 14M15 , 17B37

Rights: Copyright © 2001 Duke University Press

Vol.109 • No. 3 • 15 September 2001
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