21 citations · 59 across the 8 of their papers we have counts for
9 papers
3-Alterfolds and Quantum Invariants
Zhengwei Liu, Shuang Ming, Yilong Wang +1
In this paper, we introduce the concept of 3-alterfolds with embedded separating surfaces. When the separating surface is decorated by a spherical fusion category, we obtain quantu…
On symmetric representations of
Siu-Hung Ng, Yilong Wang, Samuel Wilson
We introduce the notions of symmetric and symmetrizable representations of . The linear representations of arising from modular t…
The Witt classes of
Eric C. Rowell, Yuze Ruan, Yilong Wang
We study the Witt classes of the modular categories associated with quantum groups of type at th roots of unity. From these classes we derive infinitely m…
Modular categories with transitive Galois actions
Siu-Hung Ng, Yilong Wang, Qing Zhang
In this paper, we study modular categories whose Galois group actions on their simple objects are transitive. We show that such modular categories admit unique factorization into p…
Higher central charges and Witt groups
Siu-Hung Ng, Eric C. Rowell, Yilong Wang +1
In this paper, we introduce the definitions of signatures of braided fusion categories, which are proved to be invariants of their Witt equivalence classes. These signature assignm…
Higher Gauss sums of modular categories
Siu-Hung Ng, Andrew Schopieray, Yilong Wang
The definitions of the Gauss sum and the associated central charge are introduced for premodular categories and . We first derive an…
Classification of spherical fusion categories of Frobenius-Schur exponent 2
Zheyan Wan, Yilong Wang
In this paper, we propose a new approach towards the classification of spherical fusion categories by their Frobenius-Schur exponents. We classify spherical fusion categories of Fr…
On modular group representations associated to SO-TQFTs
Yilong Wang
In this paper, we prove that for any odd prime larger than 3, the modular group representation associated to the SO-TQFT can be defined over the ring of integers of a cyclot…
Random Walk Invariants of String Links from R-Matrices
Thomas Kerler, Yilong Wang
We show that the exterior powers of the matrix valued random walk invariant of string links, introduced by Lin, Tian, and Wang, are isomorphic to the graded components of the tangl…