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

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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.
13 pages

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Algebraic Geometry, Combinatorics, 05E15; 57T15

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http://salesiana.dossiersoluciones.com/handle/123456789/59977

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0009197
 http://arxiv.org/abs/math/0009197

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arXiv