English

Free-fermions and canonical Grothendieck polynomials

Combinatorics 2023-11-03 v2 K-Theory and Homology Rings and Algebras

Abstract

We give a presentation of refined (dual) canonical Grothendieck polynomials and their skew versions using free-fermions. Using this, we derive a number of identities, including the skew Cauchy identities, branching rules, expansion formulas, and integral formulas.

Keywords

Cite

@article{arxiv.2211.05002,
  title  = {Free-fermions and canonical Grothendieck polynomials},
  author = {Shinsuke Iwao and Kohei Motegi and Travis Scrimshaw},
  journal= {arXiv preprint arXiv:2211.05002},
  year   = {2023}
}

Comments

30 pages; v2 corrected typos and other minor changes