Functorial relationships between quantum cohomology of complete and partial flag varieties
Algebraic Geometry
2010-07-13 v1 Combinatorics
Abstract
We give a natural filtration F on quantum cohomology QH(G/B) of G/B, which respects the quantum product structure. Its associated graded algebra is isomorphic to the tensor product of QH(G/P) and a corresponding graded algebra of QH(P/B) after localization. When the quantum parameter goes to zero, this specializes to the filtration on the classical cohomology H(G/B) from the Leray spectral sequence associated to the fibration P/B --> G/B --> G/P.
Keywords
Cite
@article{arxiv.1007.1683,
title = {Functorial relationships between quantum cohomology of complete and partial flag varieties},
author = {Naichung Conan Leung and Changzheng Li},
journal= {arXiv preprint arXiv:1007.1683},
year = {2010}
}
Comments
41 pages. To appear in the Journal of Differential Geometry