Even Temperley-Lieb algebras and the dga of planar loops
arXiv:2511.08550
Abstract
We show that the homology of a Temperley-Lieb algebra on an even number of strands has a rich algebraic structure and is highly nontrivial in general. This is achieved by proving that it is entirely governed by a differential graded algebra: the differential graded algebra of planar loops. We provide a small model for this dga, and use it to obtain consequences on homology.
43 pages. Comments welcome!