activity
20132026
most citedOn invariants of Modular categories beyond modular data

49 citations · 84 across the 12 of their papers we have counts for

collaborators

14 papers

math.QA2026

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…

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-ph2024★ 2 cited

Rado matroids and a graphical calculus for boundaries of Wilson loop diagrams

Susama Agarwala, Colleen Delaney, Karen Yeats

We study the boundaries of the positroid cells which arise from N = 4 super Yang Mills theory. Our main tool is a new diagrammatic object which generalizes the Wilson loop diagrams…

cs.CG2023

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…

math.QA2022★ 1 cited

-crossed braided zesting

Colleen Delaney, César Galindo, Julia Plavnik +2

For a finite group , a -crossed braided fusion category is -graded fusion category with additional structures, namely a -action and a -braiding. We develop the notio…

math.QA2021★ 1 cited

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…