2 citations · 3 across the 4 of their papers we have counts for
8 papers · 1 filter
Realizing modular data from centers of near-group categories
Zhiqiang Yu, Qing Zhang
In this paper, we show the existence of a near-group category of type and compute the modular data of its Drinfeld cen…
The Condensed Fiber Product and Zesting
Colleen Delaney, César Galindo, Julia Plavnik +2
We introduce the condensed fiber product of two -crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely r…
Modular data of non-semisimple modular categories
Liang Chang, Quinn T. Kolt, Zhenghan Wang +1
We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification, and applications to low dimensional topology and topological physi…
On near-group centers and super-modular categories
Eric C. Rowell, Hannah Solomon, Qing Zhang
The construction and classification of super-modular categories is an ongoing project, of interest in algebra, topology and physics. In a recent paper, Cho, Kim, Seo and You produc…
Modular tensor categories, subcategories, and Galois orbits
Julia Plavnik, Andrew Schopieray, Zhiqiang Yu +1
We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes a characterization of fusion su…
Classification of super-modular categories
Paul Bruillard, Julia Yael Plavnik, Eric C. Rowell +1
We develop categorical and number theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular cat…