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arXiv · 2508.16351

Frobenius Algebras, Factorization Homology and the Reshetikhin-Turaev Invariants

Deniz Yeral
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Abstract

For a ribbon fusion category $\mathcal{A}$ and a special symmetric commutative Frobenius algebra $F$ in $\mathcal{A}$, we use factorization homology and the ansular correlators obtained via the modular microcosm principle to construct a diffeomorphism invariant vector inside the skein module of any closed oriented three-dimensional manifold. If $\mathcal{A}$ is a modular fusion category and $F$ is the monoidal unit, this recovers the Reshetikhin-Turaev invariants.

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Deniz Yeral. 2025-08-22. Frobenius Algebras, Factorization Homology and the Reshetikhin-Turaev Invariants. https://arxiv.org/abs/2508.16351

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