Quantum cohomology of partial flag manifolds
High Energy Physics - Theory
2009-10-28 v2 Algebraic Geometry
Abstract
We compute the quantum cohomology rings of the partial flag manifolds F_{n_1\cdots n_k}=U(n)/(U(n_1)\times \cdots \times U(n_k)). The inductive computation uses the idea of Givental and Kim. Also we define a notion of the vertical quantum cohomology ring of the algebraic bundle. For the flag bundle F_{n_1\cdots n_k}(E) associated with the vector bundle E this ring is found.
Keywords
Cite
@article{arxiv.hep-th/9401103,
title = {Quantum cohomology of partial flag manifolds},
author = {Alexander Astashkevich and V. Sadov},
journal= {arXiv preprint arXiv:hep-th/9401103},
year = {2009}
}
Comments
33 pages