K-classes of delta-matroids and equivariant localization
Combinatorics
2024-09-19 v2 Algebraic Geometry
Abstract
Delta-matroids are "type B" generalizations of matroids in the same way that maximal orthogonal Grassmannians are generalizations of Grassmannians. A delta-matroid analogue of the Tutte polynomial of a matroid is the interlace polynomial. We give a geometric interpretation for the interlace polynomial via the K-theory of maximal orthogonal Grassmannians. To do so, we develop a new Hirzebruch-Riemann-Roch-type formula for the type B permutohedral variety.
Cite
@article{arxiv.2307.02550,
title = {K-classes of delta-matroids and equivariant localization},
author = {Christopher Eur and Matt Larson and Hunter Spink},
journal= {arXiv preprint arXiv:2307.02550},
year = {2024}
}
Comments
19 pages; v2: minor revisions. To appear in TAMS