On equivariant quantum Schubert calculus for G/P
Algebraic Geometry
2015-06-03 v1 Algebraic Topology
Combinatorics
Abstract
We show a Z^2-filtered algebraic structure and a "quantum to classical" principle on the torus-equivariant quantum cohomology of a complete flag variety of general Lie type, generalizing earlier works of Leung and the second author. We also provide various applications on equivariant quantum Schubert calculus, including an equivariant quantum Pieri rule for any partial flag variety of Lie type A.
Cite
@article{arxiv.1506.00872,
title = {On equivariant quantum Schubert calculus for G/P},
author = {Yongdong Huang and Changzheng Li},
journal= {arXiv preprint arXiv:1506.00872},
year = {2015}
}
Comments
29 pages. 3 figures. To appear in Journal of Algebra