K-classes of delta-matroids and equivariant localization
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908054819176448 |
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| author | Eur, Christopher Larson, Matt Spink, Hunter |
| author_facet | Eur, Christopher Larson, Matt Spink, Hunter |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | K-classes of delta-matroids and equivariant localization Eur, Christopher Larson, Matt Spink, Hunter Combinatorics Algebraic Geometry 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. |
| title | K-classes of delta-matroids and equivariant localization |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2307.02550 |