3 papers
math.RT2026
The Brauer category has principal graph
Stephen Bigelow
We show that the subfactor planar algebra with principal graph is the Brauer planar algebra with bubble constant . The Brauer algebra is similar to the Temperley-Li…
math.QA2025
A new approach to the spider
Stephen Bigelow
The spider gives a diagrammatic way to encode the representation category of the quantum group . The aim of this paper is to define a new spider that contains the…
math.QA2024
Quantum groups from homologies of configuration spaces
Stephen Bigelow, Jules Martel
We reconstruct a quantum group associated with any Lie algebra together with its representation theory from twisted homologies of generalized configuration spaces of disks. Along t…