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arXiv · 2603.23440

Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants

Francesco Costantino·Nathan Geer·Benjamin Haïoun·Bertrand Patureau-Mirand
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Abstract

For G a group, we present a G-graded version of chromatic maps and skein modules and use them to define a 2+1-G-HQFT out of a G-chromatic category. The construction applies to the representations of unrestricted quantum groups at root of unity and recovers the modified Turaev-Viro 3-dimensional invariants.

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Francesco Costantino, Nathan Geer, Benjamin Haïoun, Bertrand Patureau-Mirand. 2026-03-24. Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants. https://arxiv.org/abs/2603.23440

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