Moment graphs and KL-polynomials

Abstract

Motivated by a result of Fiebig (2007), we categorify some properties of Kazhdan-Lusztig polynomials via sheaves on Bruhat moment graphs. In order to do this, we develop new techniques and apply them to the combinatorial data encoded in these moment graphs.

Keywords

• bruhat graphs
• moment graphs
• kazhdan-lusztig polynomials
• [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]