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arXiv · 2501.04332

MOY calculus in type D

Elijah Bodish·Louis-Hadrien Robert·Emmanuel Wagner
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Abstract

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, we derive an invariant of framed unoriented links. After giving explicit details about some intertwiners in the category of quantum so(2N)-modules, we relate our state-sum link invariant with Reshetikhin--Turaev's invariant associated with quantum so(2N).

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Elijah Bodish, Louis-Hadrien Robert, Emmanuel Wagner. 2025-01-08. MOY calculus in type D. https://arxiv.org/abs/2501.04332

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