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math.GT2026
Congruence Subgroups of the Virtual Braid Group
Wade Bloomquist, Alexa Goldberg, Nancy Scherich
We extend the notion of congruence subgroups of the braid group to the virtual braid group using an extension of the integral Burau representation. We prove that the level 2 congru…
math.GT2024
Degenerations Of Skein Algebras And Quantum Traces
Wade Bloomquist, Hiroaki Karuo, Thang Lê
We introduce a joint generalization, called LRY skein algebras, of Kauffman bracket skein algebras (of surfaces) that encompasses both Roger-Yang skein algebras and stated skein al…