Back stable K-theory Schubert calculus

Abstract

We study the back stable $K$-theory Schubert calculus of the infinite flag variety. We define back stable (double) Grothendieck polynomials and double $K$-Stanley functions and establish coproduct expansion formulae. Applying work of Weigandt, we extend our previous results on bumpless pipedreams from cohomology to $K$-theory. We study finiteness and positivity properties of the ring of back stable Grothendieck polynomials, and divided difference operators in $K$-homology.

References in corpus (4)

• Schubert Polynomials in Types A and C
• Grothendieck to Lascoux expansions
• A K_T-deformation of the ring of symmetric functions
• Puzzle Model for Bumpless Pipe Dream

Cited by in corpus (1)

• Grothendieck to Lascoux expansions