Weak order on complete quadrics

Can, Mahir; Joyce, Michael

doi:10.1090/S0002-9947-2013-05813-8

Weak order on complete quadrics
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by Mahir Bilen Can and Michael Joyce PDF

Trans. Amer. Math. Soc. 365 (2013), 6269-6282 Request permission

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.

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