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Transformation formulas in Quantum Cohomology

Prakash Belkale
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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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Prakash Belkale. 2002-10-03. Transformation formulas in Quantum Cohomology. https://arxiv.org/abs/math/0210050

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