Kazhdan-Lusztig combinatorics in the moment graph setting
  Motivated by a question on the graded rank of the stalks of the canonical sheaf on a Bruhat graph, we lift some equalities concerning (parabolic) Kazhdan-Lusztig polynomials to this moment graph setting. Our proofs hold also in positive characteristic, under some technical assumptions. 
Martina Lanini
math.RT math.CO