From the 1 of 8 linked papers with an AI index.
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On Split Forms of Fusion Categories
César Galindo
We formulate split Galois descent for fusion categories through framed equivalences, reducing the existence of a split form to a group-theoretic splitting problem. The associated d…
Fiber Functors of Equivariantizations of Finite Tensor Categories
César Galindo, Claudia Gallego, Yiby Morales
Let be a finite group acting on a finite tensor category . We classify fiber functors on the equivariantization in terms of equivariant exact modul…
A Complexity Dichotomy for Quantum Invariants of 3-Manifolds
César Galindo
We determine the complexity of exact evaluation of the Reshetikhin--Turaev and Turaev--Viro invariants of closed connected oriented 3-manifolds, with the underlying tensor category…
Categorical Fermionic Actions and Minimal Modular Extensions
César Galindo, César F. Venegas-RamÃrez
We define fermionic actions of finite super-groups on fermionic fusion categories and establish necessary and sufficient conditions for their existence. Our main result characteriz…
Braided zesting and its applications
Colleen Delaney, César Galindo, Julia Plavnik +2
We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categor…
On braided and ribbon unitary fusion categories
César Galindo
We prove that every braiding on a unitary fusion category is automatically unitary, and that every unitary braided fusion category admits a unique unitary ribbon structure.