On the quantum cohomology of adjoint varieties
Algebraic Geometry
2014-02-26 v1 Representation Theory
Abstract
We study the quantum cohomology of quasi-minuscule and quasi-cominuscule homogeneous spaces. The product of any two Schubert cells does not involve powers of the quantum parameter higher than 2. With the help of the quantum to classical principle we give presentations of the quantum cohomology algebras. These algebras are semi-simple for adjoint non coadjoint varieties and some properties of the induced strange duality are shown.
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Cite
@article{arxiv.0904.4824,
title = {On the quantum cohomology of adjoint varieties},
author = {Pierre-Emmanuel Chaput and Nicolas Perrin},
journal= {arXiv preprint arXiv:0904.4824},
year = {2014}
}
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39 pages