3 papers
math.GT2026
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…
math-ph2025
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…
math-ph2025
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…