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math.QA2024
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…
math.QA2024
Integral non-group-theoretical modular categories of dimension
César Galindo, Julia Plavnik, Eric C. Rowell
We construct all integral non-group-theoretical modular categories of dimension , where and are distinct prime numbers, establishing that a necessary and sufficient…
math.QA2023
Braided Zestings of Verlinde Modular Categories and Their Modular Data
César Galindo, Giovanny Mora, Eric C. Rowell
Zesting of braided fusion categories is a procedure that can be used to obtain new modular categories from a modular category with non-trivial invertible objects. In this paper, we…