Categorical Center of Higher Genera and 4D Factorization Homology
arXiv:2107.05914
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.
arXiv comment55 pages, 49 figures
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