3 papers
math.GR2026
An introduction to the geometric and combinatorial group theory of Artin groups
Rachael Boyd
We give a brief introduction to the geometric and combinatorial group theory of Artin groups. In particular we introduce the conjecture for Artin groups and survey known…
math.AT2025
Even Temperley-Lieb algebras and the dga of planar loops
Rachael Boyd, Guy Boyde, Oscar Randal-Williams +1
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 t…
math.GT2025
Embedding spaces of split links
Rachael Boyd, Corey Bregman
We study the homotopy type of the space of unparametrised embeddings of a split link in . Our main result is a simple descripti…