Weak Order on Complete Quadrics
Combinatorics
2012-03-09 v2 Algebraic Geometry
Abstract
Using an action of the Richardson-Springer monoid on involutions, we study the weak order on the variety of complete quadrics. Maximal chains in the poset are explicitly determined. Applying results of Brion, our calculations describe certain cohomology classes in the complete flag variety.
Keywords
Cite
@article{arxiv.1201.2149,
title = {Weak Order on Complete Quadrics},
author = {Mahir Bilen Can and Michael Joyce},
journal= {arXiv preprint arXiv:1201.2149},
year = {2012}
}
Comments
Some typos of the earlier version are fixed, a new section added