3 papers
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.AT2025
Stable homology isomorphisms for the partition and Jones annular algebras
Guy Boyde
We show that the homology of the Jones annular algebras is isomorphic to that of the cyclic groups below a line of gradient . We also show that the homology of the par…
math.AT2025
Idempotents and homology of diagram algebras
Guy Boyde
This paper provides a systematization of some recent results in homology of algebras. Our main theorem gives criteria under which the homology of a diagram algebra is isomorphic to…