A Pieri-type Formula for the Equivariant Cohomology of the Flag Manifold

Details A Pieri-type Formula for the Equivariant Cohomology of the Flag Manifold A Pieri-type Formula for the Equivariant Cohomology of the Flag Manifold

2000-09-21

arxiv.org/abs/math/0009197v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

We prove an explicit combinatorial formula for certain structure constants of
the T-equivariant cohomology of the flag manifold SLn/B. Our result generalizes
the Pieri-type formula in ordinary cohomology proved by Sottile in 1996. Our
result also gives a Pieri-type formula for the double Schubert polynomials
introduced by Lascoux and Schutzenberger.

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