English

Soergel Calculus with patches

Representation Theory 2024-02-20 v3 Algebraic Topology

Abstract

We adapt the diagrammatic presentation of the Hecke category to the dg category formed by the standard representatives for the Rouquier complexes. We use this description to recover basic results about these complexes, namely the categorification of the relations of the braid group and the Rouquier formula.

Keywords

Cite

@article{arxiv.2201.03347,
  title  = {Soergel Calculus with patches},
  author = {Leonardo Maltoni},
  journal= {arXiv preprint arXiv:2201.03347},
  year   = {2024}
}

Comments

25 pages

R2 v1 2026-06-24T08:44:53.974Z