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K-classes of delta-matroids and equivariant localization

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arxiv 2307.02550 v2 pith:UT4UFVNW submitted 2023-07-05 math.CO math.AG

Christopher Eur , Matt Larson , Hunter Spink This is my paper · ORCID
classification math.COmath.AG
keywords grassmannianspolynomialdelta-matroidsgeneralizationsinterlacemaximalorthogonaltype
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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.

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