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braid group symmetries 1pivotal categories 1quantum groups 1spider diagrams 1type b webs 1

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math.QA2026

A Kohno--Drinfeld Theorem for iquantum Weyl groups

Elijah Bodish, Ivan Motorin

We prove that two finite-dimensional linear representations of the braid group are isomorphic. One representation comes from the monodromy of the boundary Casimir connection, and t…

math.QA2025

MOY calculus in type D

Elijah Bodish, Louis-Hadrien Robert, Emmanuel Wagner

We define a positive state sum for webs "of type D". These webs are graphs which mimic morphisms in the category of finite-dimensional quantum so(2N)-modules. From the state sum, w…

math.QA2024

Spin Link Homology

Elijah Bodish, Ben Elias, David E. V. Rose

We put a new spin on Khovanov--Rozansky homology. That is, we equip -colored Khovanov--Rozansky homology with an involution whose -eigenspaces are…