1 citations · 1 across the 6 of their papers we have counts for
6 papers
A Disproof of Santharoubane's Conjecture on Presentations of Generic Skein Algebras
Jin-Cheng Guu
Let be a compact connected oriented surface of genus at least with at most one boundary component. Santharoubane associated to certain presentations of the mapping class gr…
Skein Construction of Balanced Tensor Products
Manuel Araújo, Jin-Cheng Guu, Skyler Hudson
The theory of tensor categories has found applications across various fields, including representation theory, quantum field theory (conformal in 2 dimensions, and topological in 3…
On the algebra generated by
Shamuel Auyeung, Jin-Cheng Guu, Jiahao Hu
In this note, we determine the structure of the associative algebra generated by the differential operators that act on complex-value…
Equivalence of field theories: Crane-Yetter and the shadow
Jin-Cheng Guu
This work solves a 28-year conjecture by showing that two major invariants of smooth 4-manifolds, the shadow model (motivated by statistical mechanics [Tur91]) and the simplicial C…
Explicit Factorization of a Categorical Center
Jin-Cheng Guu, Ying Hong Tham
Given a braided fusion category , it is well known that the natural map from the square of to the (Drinfeld) categorical center is an e…
Categorical Center of Higher Genera and 4D Factorization Homology
Jin-Cheng Guu
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 theor…