Positivity in equivariant quantum Schubert calculus

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2006Embargo end date: 01 Jan 2004 English Publisher:Project MUSEJournal:American Journal of Mathematics, volume 128, pages 787-803 (eissn: 1080-6377,

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Authors: Mihalcea, Leonardo Constantin;

doi: 10.1353/ajm.2006.0026 , 10.48550/arxiv.math/0407239

arXiv: math/0407239

Positivity in equivariant quantum Schubert calculus

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Abstract

A conjecture of D. Peterson, proved by W. Graham, states that the structure constants of the ( T -)equivariant cohomology of a homogeneous space G/P satisfy a certain positivity property. In this paper we show that this positivity property holds in the more general situation of equivariant quantum cohomology.

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, 14N35;55N91;57T15, Representation Theory (math.RT), 14N35, Algebraic Geometry (math.AG), Mathematics - Representation Theory, 57T15, 55N91

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