On the quantum product of Schubert classes

Abstract

We give a formula for the smallest powers of the quantum parameters q that occur in a product of Schubert classes in the (small) quantum cohomology of general flag varieties G/P. We also include a complete proof of Peterson's quantum version of Chevalley's formula, also for general G/P's.

Minor errors corrected. To appear in the Journal of Algebraic Geometry

References in corpus (3)

• The connectedness of the moduli space of maps to homogeneous spaces
• Quantum cohomology of Grassmannians
• Transformation formulas in Quantum Cohomology

Cited by in corpus (5)

• Gromov-Witten invariants of Fano threefolds of genera 6 and 8
• Convex functions on symmetric spaces, side lengths of polygons and stability inequalities for weighted configurations at infinity
• Perverse sheaves, Koszul IC-modules, and the quiver for the category O
• Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
• Polynomial representatives of Schubert classes in QH^*(G/B)