Permutations with Kazhdan-Lusztig Polynomial $P_{id,w}(q)=1+q^h$

Alexander Woo

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 $h$.

(Appendix by Sara Billey and Jonathan Weed)


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