3 papers
math.CO2024
On the enumeration of series-parallel matroids
Nicholas Proudfoot, Yuan Xu, Ben Young
By the work of Ferroni and Larson, Kazhdan-Lusztig polynomials and Z-polynomials of complete graphs have combinatorial interpretations in terms of quasi series-parallel matroids. W…
math.CO2024
Categorical valuative invariants of polyhedra and matroids
Ben Elias, Dane Miyata, Nicholas Proudfoot +1
We introduce the notion of a categorical valuative invariant of polyhedra or matroids, in which alternating sums of numerical invariants are replaced by split exact sequences in an…
math.CO2023
The combinatorics behind the leading Kazhdan-Lusztig coefficients of braid matroids
Alice L. L. Gao, Nicholas Proudfoot, Arthur L. B. Yang +1
Ferroni and Larson gave a combinatorial interpretation of the braid Kazhdan-Lusztig polynomials in terms of series-parallel matroids. As a consequence, they confirmed an explicit f…