76 citations · 236 across the 19 of their papers we have counts for
20 papers
The Braid Indices of the Reverse Parallel Links of Alternating Knots
Yuanan Diao, Hugh Morton
The braid indices of most links remain unknown as there is no known universal method that can be used to determine the braid index of an arbitrary knot. This is also the case for a…
Twist positivity, L-space knots, and concordance
Siddhi Krishna, Hugh Morton
Many well studied knots can be realized as positive braid knots where the braid word contains a positive full twist; we say that such knots are twist positive. Some important famil…
Tangles in affine Hecke algebras
Hugh Morton
The affine Hecke algebra of type is often presented as a quotient of the braid algebra of -braids in the annulus. This leads to diagrammatic representations in te…
DAHAs and skein theory
Hugh Morton, Peter Samuelson
We give a skein-theoretic realization of the double affine Hecke algebra of Cherednik using braids and tangles in the punctured torus. We use this to provide evid…
The Kauffman skein algebra of the torus
Hugh Morton, Alexander Pokorny, Peter Samuelson
We give a presentation of the Kauffman (BMW) skein algebra of the torus, which is the "type BCD" analogue of the Homflypt skein algebra of torus which was computed by the first and…
The HOMFLYPT skein algebra of the torus and the elliptic Hall algebra
Hugh Morton, Peter Samuelson
We give a generators and relations presentation of the HOMFLYPT skein algebra of the torus , and we give an explicit description of the module corresponding to the solid t…