90 citations · 137 across the 14 of their papers we have counts for
5 papers · 1 filter
From ribbon categories to generalized Yang-Baxter operators and link invariants (after Kitaev and Wang)
Seung-moon Hong
We consider two approaches to isotopy invariants of oriented links: one from ribbon categories and the other from generalized Yang-Baxter operators with appropriate enhancements. T…
Invariants of links from the generalized Yang-Baxter equation
Seung-moon Hong
Enhanced Yang-Baxter operators give rise to invariants of oriented links. We expand the enhancing method to generalized Yang-Baxter operators. At present two examples of generalize…
On symmetrization of 6j-symbols and Levin-Wen Hamiltonian
Seung-Moon Hong
It is known that every ribbon category with unimodality allows symmetrized -symbols with full tetrahedral symmetries while a spherical category does not in general. We give an…
On exotic modular tensor categories
Seung-moon Hong, Eric Rowell, Zhenghan Wang
It has been conjectured that every -TQFT is a Chern-Simons-Witten (CSW) theory labelled by a pair , where is a compact Lie group, and a cohomolog…
Some non-braided fusion categories of rank 3
Tobias J. Hagge, Seung-Moon Hong
We classify all fusion categories for a given set of fusion rules with three simple object types. If a conjecture of Ostrik is true, our classification completes the classification…