Positivity in equivariant Schubert calculus
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
We prove a conjecture of Dale Peterson on positivity in the multiplication in the T-equivariant cohomology of the flag variety. The theorem follows from a more general positivity result about the equivariant cohomology of varieties with actions of a solvable group with finitely many orbits. This more general result is an equivariant version of a theorem of Kumar and Nori.
Cite
@article{arxiv.math/9908172,
title = {Positivity in equivariant Schubert calculus},
author = {William Graham},
journal= {arXiv preprint arXiv:math/9908172},
year = {2007}
}