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K-classes of delta-matroids and equivariant localization
- Publication Year :
- 2023
-
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.<br />Comment: 19 pages; v2: minor revisions. To appear in TAMS
- Subjects :
- Mathematics - Combinatorics
Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2307.02550
- Document Type :
- Working Paper