To every matroid, we associate a class in the -theory of the Grassmannian. We study this class by using the method of equivariant localization. In particular, we provide a geometric interpretation of the Tutte polynomial. We also extend the second author’s results 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.
"-classes for matroids and equivariant localization." Duke Math. J. 161 (14) 2699 - 2723, 1 November 2012. https://doi.org/10.1215/00127094-1813296