Intersection cohomology of the symmetric reciprocal plane
Combinatorics
2015-12-22 v3 Algebraic Geometry
Abstract
We compute the Kazhdan-Lusztig polynomial of the uniform matroid of rank n-1 on n elements by proving that the i-th coefficient of is equal to the number of ways to choose i non-intersecting chords in an (n-i+1)-gon. We also show that the corresponding intersection cohomology group is isomorphic to the irreducible representation of the symmetric group associated to the partition [n-2i,2,...,2].
Keywords
Cite
@article{arxiv.1504.07348,
title = {Intersection cohomology of the symmetric reciprocal plane},
author = {Nicholas Proudfoot and Max Wakefield and Benjamin Young},
journal= {arXiv preprint arXiv:1504.07348},
year = {2015}
}
Comments
10 pages, 1 figure; small errors corrected after publication