90 citations · 137 across the 14 of their papers we have counts for
14 papers
Low-dimensional representations of the three component loop braid group
Paul Bruillard, Liang Chang, Seung-Moon Hong +3
Motivated by physical and topological applications, we study representations of the group of motions of unlinked oriented circles in . Our point…
Duflo Isomorphism and Chern-Weil Theory
Seunghun Hong
We explain how the distributional index of a transversally elliptic operator on a principal G-manifold P that is obtained by lifting a Dirac operator on P/G can serve as a link bet…
Borel-Weil-Bott Theorem via Equivariant McKean-Singer Formula
Seunghun Hong
After reviewing how the Borel-Weil-Bott theorem can be interpreted as an index theorem, we present a proof using Kostant's cubic Dirac operator and the equivariant McKean-Singer fo…
Universal quantum computation with weakly integral anyons
Shawn X. Cui, Seung-Moon Hong, Zhenghan Wang
Harnessing non-abelian statistics of anyons to perform quantum computational tasks is getting closer to reality. While the existence of universal anyons by braiding alone such as t…
Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2
Paul Bruillard, César Galindo, Seung-Moon Hong +5
We classify integral modular categories of dimension pq^4 and p^2q^2 where p and q are distinct primes. We show that such categories are always group-theoretical except for categor…
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…