K-classes of delta-matroids and equivariant localization
- Resource Type
- Working Paper
- Authors
- Eur, Christopher; Larson, Matt; Spink, Hunter
- Source
- Subject
- Mathematics - Combinatorics
Mathematics - Algebraic Geometry
- Language
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.
Comment: 19 pages