Transformation formulas in Quantum Cohomology
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
The article discusses an action of the center of G on the quantum cohomology of G/P's constructed geometrically. It is shown how to recover Bertram's Quantum Schubert Calculus from this action, and also a refinement of a formula of Fulton and Woodward for the terms of the smallest order in the product of two Schubert varieties in the Quantum cohomology of a Grassmannian. The results date to July 2001, and are needed to pose a Quantum analogue of the Horn and Saturation Conjectures.
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Cite
@article{arxiv.math/0210050,
title = {Transformation formulas in Quantum Cohomology},
author = {Prakash Belkale},
journal= {arXiv preprint arXiv:math/0210050},
year = {2007}
}
Comments
23 pages