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arXiv · 2107.05914

Categorical Center of Higher Genera and 4D Factorization Homology

Jin-Cheng Guu
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Abstract

Many quantum invariants of knots and 3-manifolds (e.g. Jones polynomials) are special cases of the Witten-Reshetikhin-Turaev 3D TQFT. The latter is in turn a part of a larger theory - the Crane-Yetter 4D TQFT. In this work, we compute the Crane-Yetter theory for all (smooth and oriented) surfaces with at least one puncture. The results in general are constructed and called the categorical center of higher genera.

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Jin-Cheng Guu. 2021-07-13. Categorical Center of Higher Genera and 4D Factorization Homology. https://arxiv.org/abs/2107.05914

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