%0 Journal Article %T Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h %A Alexander Woo %A Sara Billey %A Jonathan Weed %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0809.2374v1