5 papers
Zesting and the relative complexity of Reshetikhin-Turaev invariants
Colleen Delaney, Calvin McPhail-Snyder
We show that the computational complexity of Reshetikhin-Turaev invariants of simply colored links is preserved when their underlying ribbon fusion categories are related by the ze…
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…
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…
An algorithm for Tambara-Yamagami quantum invariants of 3-manifolds, parameterized by the first Betti number
Colleen Delaney, Clément Maria, Eric Samperton
Quantum topology provides various frameworks for defining and computing invariants of manifolds inspired by quantum theory. One such framework of substantial interest in both mathe…
Zesting produces modular isotopes and explains their topological invariants
Colleen Delaney, Sung Kim, Julia Plavnik
We show that the ribbon zesting construction can produce modular isotopes -- different modular fusion categories with the same modular data. The result relies on the observation th…