3 citations · 11 across the 12 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AT2022
Quasisymmetric Schubert calculus
Oliver Pechenik, Matthew Satriano
The ring of symmetric functions occupies a central place in algebraic combinatorics, with a particularly notable role in Schubert calculus, where the standard cell decompositions o…
math.CO2022★ 1 cited
Proof of a conjectured Möbius inversion formula for Grothendieck polynomials
Oliver Pechenik, Matthew Satriano
Schubert polynomials are polynomial representatives for cohomology classes of Schubert varieties in a complete flag variety, while Grothendieck polynomials $\mathf…
math.CO2022
An inverse Grassmannian Littlewood-Richardson rule and extensions
Oliver Pechenik, Anna Weigandt
Chow rings of flag varieties have bases of Schubert cycles , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula fo…