Alex Fink ; David Speyer
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K-classes for matroids and equivariant localization
dmtcs:2915 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2011,
DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
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https://doi.org/10.46298/dmtcs.2915
K-classes for matroids and equivariant localizationConference paper
To every matroid, we associate a class in the K-theory of the Grassmannian. We study this class using the method of equivariant localization. In particular, we provide a geometric interpretation of the Tutte polynomial. We also extend results of the second author concerning the behavior of such classes under direct sum, series and parallel connection and two-sum; these results were previously only established for realizable matroids, and their earlier proofs were more difficult.
Christopher Eur;Matt Larson;Hunter Spink, 2024, K-classes of delta-matroids and equivariant localization, Transactions of the American Mathematical Society, 10.1090/tran/9328.
Erik Insko;Alexander Yong, 2012, Patch ideals and Peterson varieties, arXiv (Cornell University), 17, 4, pp. 1011-1036, 10.1007/s00031-012-9201-x.