Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h
Algebraic Geometry
2012-01-31 v1 Combinatorics
Abstract
Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial P_{id,w}(q)=1+q^h for some h.
Keywords
Cite
@article{arxiv.0809.2374,
title = {Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h},
author = {Alexander Woo and Sara Billey and Jonathan Weed},
journal= {arXiv preprint arXiv:0809.2374},
year = {2012}
}
Comments
30 pages, 8 figures. Main body is by Woo, appendix by Billey and Weed