MOY calculus in type D
Quantum Algebra
2025-05-15 v2 Combinatorics
Geometric Topology
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).
Keywords
Cite
@article{arxiv.2501.04332,
title = {MOY calculus in type D},
author = {Elijah Bodish and Louis-Hadrien Robert and Emmanuel Wagner},
journal= {arXiv preprint arXiv:2501.04332},
year = {2025}
}
Comments
48 pages, many diagrams, comments welcome! v2: Clarified statement, improved introduction, 50 pages