Weak Order on Complete Quadrics

Details Weak Order on Complete Quadrics Weak Order on Complete Quadrics

2012-01-10

arxiv.org/abs/1201.2149v2

Mathematics

Combinatorics

Some typos of the earlier version are fixed, a new section added

Scientific paper

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.

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