Positivity in equivariant Schubert calculus

Details Positivity in equivariant Schubert calculus Positivity in equivariant Schubert calculus

1999-08-31

arxiv.org/abs/math/9908172v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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