105 citations · 532 across the 58 of their papers we have counts for
6 papers · 2 filters
Involution pipe dreams
Zachary Hamaker, Eric Marberg, Brendan Pawlowski
Involution Schubert polynomials represent cohomology classes of -orbit closures in the complete flag variety, where is the orthogonal or symplectic group. We show they also…
Bumping operators and insertion algorithms for queer supercrystals
Eric Marberg
Results of Morse and Schilling show that the set of increasing factorizations of reduced words for a permutation is naturally a crystal for the general linear Lie algebra. Hiroshim…
Enriched set-valued P-partitions and shifted stable Grothendieck polynomials
Joel Brewster Lewis, Eric Marberg
We introduce an enriched analogue of Lam and Pylyavskyy's theory of set-valued -partitions. An an application, we construct a -theoretic version of Stembridge's Hopf algebra…
On some properties of symplectic Grothendieck polynomials
Eric Marberg, Brendan Pawlowski
Grothendieck polynomials, introduced by Lascoux and Schützenberger, are certain -theory representatives for Schubert varieties. Symplectic Grothendieck polynomials, described mo…
K-theory formulas for orthogonal and symplectic orbit closures
Eric Marberg, Brendan Pawlowski
The complex orthogonal and symplectic groups both act on the complete flag variety with finitely many orbits. We study two families of polynomials introduced by Wyser and Yong repr…
A symplectic refinement of shifted Hecke insertion
Eric Marberg
Buch, Kresch, Shimozono, Tamvakis, and Yong defined Hecke insertion to formulate a combinatorial rule for the expansion of the stable Grothendieck polynomials indexed by perm…