Zobrazeno 1 - 10
of 318
pro vyhledávání: '"Proudfoot, Nicholas"'
We determine the convergence regions of certain local integrals on the moduli spaces of curves in neighborhoods of fixed stable curves in terms of the combinatorics of the corresponding graphs.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2409.10005
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. We provide explicit formulas for the number of series-parallel matroids
Externí odkaz:
http://arxiv.org/abs/2406.04502
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 additive category. We provide categorical lifts of a number of valuat
Externí odkaz:
http://arxiv.org/abs/2401.06869
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 formula for the leading Kazhdan-Lusztig coefficients of braid matroids
Externí odkaz:
http://arxiv.org/abs/2311.06929
We study the $K$-ring of the wonderful variety of a hyperplane arrangement and give a combinatorial presentation that depends only on the underlying matroid. We use this combinatorial presentation to define the $K$-ring of an arbitrary loopless matro
Externí odkaz:
http://arxiv.org/abs/2210.03169
We give a cohomological interpretation of the Heaviside filtration on the Varchenko--Gelfand ring of a pair $(\mathcal{A},\mathcal{K})$, where $\mathcal{A}$ is a real hyperplane arrangement and $\mathcal{K}$ is a convex open subset of the ambient vec
Externí odkaz:
http://arxiv.org/abs/2208.04855
We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the operation of relaxation of a collection of stressed hyperplanes. This allow
Externí odkaz:
http://arxiv.org/abs/2202.06938
Publikováno v:
In Advances in Mathematics April 2024 441
We expand upon the notion of equivariant log concavity, and make equivariant log concavity conjectures for Orlik--Solomon algebras of matroids, Cordovil algebras of oriented matroids, and Orlik--Terao algebras of hyperplane arrangements. In the case
Externí odkaz:
http://arxiv.org/abs/2104.00715
Autor:
Proudfoot, Nicholas
We define a type B analogue of the category of finite sets with surjections, and we study the representation theory of this category. We show that the opposite category is quasi-Grobner, which implies that submodules of finitely generated modules are
Externí odkaz:
http://arxiv.org/abs/2011.01313