Categorical Center of Higher Genera and 4D Factorization Homology
Quantum Algebra
2025-07-30 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2107.05914,
title = {Categorical Center of Higher Genera and 4D Factorization Homology},
author = {Jin-Cheng Guu},
journal= {arXiv preprint arXiv:2107.05914},
year = {2025}
}
Comments
55 pages, 49 figures