146 citations · 484 across the 48 of their papers we have counts for
28 papers · 1 filter
Permutahedra, Lusztig varieties, degenerations, and subdivisions
Allen Knutson, Mario Sanchez, Melissa Sherman-Bennett
We present an embedded (in ) degeneration of Lusztig varieties (which generalize type Hessenberg varieties) to certain unions of Richardson varieties, giving a simultaneou…
A Bruhat atlas for the Mehta-van der Kallen stratification of
Allen Knutson, Steven V Sam
Mehta and van der Kallen put a Frobenius splitting on the type A cotangent bundle , thereby defining a stratification by compatibly split subvarieties, and they determi…
Schubert puzzles and integrability II: multiplying motivic Segre classes
Allen Knutson, Paul Zinn-Justin
In Schubert Puzzles and Integrability I we proved several "puzzle rules" for computing products of Schubert classes in K-theory (and sometimes equivariant K-theory) of d-step flag…
Schubert structure operators and K_T(G/B)
Rebecca Goldin, Allen Knutson
We prove a formula for the structure constants of multiplication of equivariant Schubert classes in both equivariant cohomology and equivariant K-theory of Kac-Moody flag manifolds…
The multidegree of the multi-image variety
Laura Escobar, Allen Knutson
The multi-image variety is a subvariety of Gr(1,P^3)^n that models taking pictures with n rational cameras. We compute its cohomology class in the cohomology of Gr(1,P^3)^n, and fr…
A K_T-deformation of the ring of symmetric functions
Allen Knutson, Mathias Lederer
The ring of symmetric functions can be implemented in the homology of \union_{a,b} Gr(a,a+b), the multiplicative structure being defined from the "direct sum" map. There is a natur…