Flags and tangles
Quantum Algebra
2022-11-08 v2 Representation Theory
Abstract
We show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori--Hecke algebras of type as endomorphism algebras of certain objects.
Cite
@article{arxiv.1910.04182,
title = {Flags and tangles},
author = {Fabian Haiden},
journal= {arXiv preprint arXiv:1910.04182},
year = {2022}
}
Comments
v2: added discussion of dualities, more detailed proofs, typos corrected