41 citations · 45 across the 6 of their papers we have counts for
6 papers
Hybrid pipe dreams for the lower-upper scheme
Allen Knutson, Paul Zinn-Justin
In [KU23] were introduced hybrid pipe dreams interpolating between classic and bumpless pipe dreams, each hybridization giving a different formula for double Schubert polynomials.…
Stable map quotients (and orbifold log resolutions) of Richardson varieties
Allen Knutson
Let be a Richardson variety in a generalized partial flag manifold. We use equivariant stable map spaces to define a canonical resolution $\widet…
Generic pipe dreams, lower-upper varieties, and Schwartz-MacPherson classes
Allen Knutson, Paul Zinn-Justin
We recall the lower-upper varieties from [Knutson '05] and give a formula for their equivariant cohomology classes, as a sum over generic pipe dreams. We recover as limits the clas…
The commutant of divided difference operators, Klyachko's genus, and the comaj statistic
Christian Gaetz, Rebecca Goldin, Allen Knutson
In [Hamaker-Pechenik-Speyer-Weigandt, Nenashev, Pechenik-Weigandt] are studied certain operators on polynomials and power series that commute with all divided difference operators…
Equivariant Sheaves
A. Knutson, E. Sharpe
In this article we review some recent developments in heterotic compactifications. In particular we review an ``inherently toric'' description of certain sheaves, called equivarian…
Sheaves on Toric Varieties for Physics
A. Knutson, E. Sharpe
In this paper we give an inherently toric description of a special class of sheaves (known as equivariant sheaves) over toric varieties, due in part to A. A. Klyachko. We apply thi…