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arXiv · 0809.2374

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

Alexander Woo·Sara Billey·Jonathan Weed
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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.

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Alexander Woo, Sara Billey, Jonathan Weed. 2008-09-13. Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h. https://arxiv.org/abs/0809.2374

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