1 citations · 1 across the 4 of their papers we have counts for
7 papers
webs at roots of unity
Vijay Higgins, Bryan Silva, Amy Somers +3
We study webs on surfaces for the skein theory specialized at roots of unity. We construct the analogue of Chebyshev polynomials and use them to construct…
skein algebras of small surfaces
Cole Ellison, Vijay Higgins, Mark Sandey +1
We study the skein algebras of small surfaces, focusing on the closed torus and the once-punctured torus. We provide explicit finite presentations by generators and re…
Type skein modules and transparent elements
Vijay Higgins, Haihan Wu
We study skein modules using webs. We define multivariable analogues of Chebyshev polynomials in the Type setting and use them to construct transparent elements in the…
Steinberg skein identities at roots of unity
Vijay Higgins, Indraneel Tambe
We obtain a family of skein identities in the Kauffman bracket skein module which relate Frobenius elements to Jones-Wenzl projectors at roots of unity. We view these skein identit…
Miraculous cancellations and the quantum Frobenius for skein modules
Vijay Higgins
We construct a quantum Frobenius map for the skein module of any oriented 3-manifold specialized at a root of unity, and describe the map by way of threading certain polynom…
Power sum elements in the skein algebra
Bodie Beaumont-Gould, Erik Brodsky, Vijay Higgins +3
We study the skein algebras of surfaces associated to the exceptional Lie group using Kuperberg webs. We identify two 2-variable polynomials, and and…
Central elements in the -skein algebra of a surface
Francis Bonahon, Vijay Higgins
The -skein algebra of a surface is a certain deformation of the coordinate ring of the character variety consisting of flat $\…