Back stable K-theory Schubert calculus
Combinatorics
2021-08-24 v1
Abstract
We study the back stable -theory Schubert calculus of the infinite flag variety. We define back stable (double) Grothendieck polynomials and double -Stanley functions and establish coproduct expansion formulae. Applying work of Weigandt, we extend our previous results on bumpless pipedreams from cohomology to -theory. We study finiteness and positivity properties of the ring of back stable Grothendieck polynomials, and divided difference operators in -homology.
Cite
@article{arxiv.2108.10202,
title = {Back stable K-theory Schubert calculus},
author = {Thomas Lam and Seung Jin Lee and Mark Shimozono},
journal= {arXiv preprint arXiv:2108.10202},
year = {2021}
}