124 citations · 346 across the 23 of their papers we have counts for
26 papers
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…
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…
On the Burau Representation of modulo
A. Beridze, S. Bigelow, P. Traczyk
The problem of faithfulness of the (reduced) Burau representation for is known to be equivalent to the problem of whether certain two matrices and generate a free gr…
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…
Realizing an exact entangling gate using Fibonacci anyons
Stephen Bigelow, Claire Levaillant
Fibonacci anyons are attractive for use in topological quantum computation because any unitary transformation of their state space can be approximated arbitrarily accurately by bra…
The pop-switch planar algebra and the Jones-Wenzl idempotents
Ellie Grano, Stephen Bigelow
The Jones-Wenzl idempotents are elements of the Temperley-Lieb planar algebra that are important, but complicated to write down. We will present a new planar algebra, the pop-switc…