Pfaffian formula for $K$-theory of odd orthogonal Grassmannians

Thomas Hudson; Takeshi Ikeda; Tomoo Matsumura; Hiroshi Naruse

Pfaffian formula for $K$-theory of odd orthogonal Grassmannians

Algebraic Geometry 2016-02-16 v1 Combinatorics K-Theory and Homology

Authors: Thomas Hudson , Takeshi Ikeda , Tomoo Matsumura , Hiroshi Naruse

Abstract

We prove a Pfaffain formula for the $K$ -theory class of the degeneracy loci in the bundle of odd maximal orthogonal Grassmannians.

Keywords

Pfaffian formula K-theory odd orthogonal Grassmannians degeneracy loci maximal orthogonal Grassmannians grassmannian bundle

Cite

@article{arxiv.1602.04448,
  title  = {Pfaffian formula for $K$-theory of odd orthogonal Grassmannians},
  author = {Thomas Hudson and Takeshi Ikeda and Tomoo Matsumura and Hiroshi Naruse},
  journal= {arXiv preprint arXiv:1602.04448},
  year   = {2016}
}