1 citations · 1 across the 8 of their papers we have counts for
4 papers · 1 filter
Schubert polynomial analogues for degenerate involutions
Michael Joyce
We survey the recent study of involution Schubert polynomials and a modest generalization that we call degenerate involution Schubert polynomials. We cite several conditions when (…
Chains in Weak Order Posets Associated to Involutions
Mahir Bilen Can, Michael Joyce, Benjamin Wyser
The W-set of an element of a weak order poset is useful in the cohomological study of the closures of spherical subgroups in generalized flag varieties. We explicitly describe in a…
Weak Order on Complete Quadrics
Mahir Bilen Can, Michael Joyce
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…
Ordered Bell numbers, Hermite polynomials, Skew Young Tableaux, and Borel orbits
Mahir Bilen Can, Michael Joyce
We give three interpretations of the number of orbits of the Borel subgroup of upper triangular matrices on the variety $\ms{X}$ of complete quadrics. First, we show that i…