4 papers · 1 filter
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…
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…