activity
20212026
most citedMotion groupoids and mapping class groupoids

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2026

Paravortices: loop braid representations with both generators involutive

Paul P. Martin, Eric C. Rowell, Fiona Torzewska

We first motivate the study of a certain quotient of the loop braid category, both for the mathematics underpinning recent approaches to topological quantum computation; and as a k…

math.QA2023

Classification of charge-conserving loop braid representations

Paul Martin, Eric C. Rowell, Fiona Torzewska

Here a loop braid representation is a monoidal functor from the loop braid category to a suitable target category, and is -charge-conserving if that ta…

math-ph2021★ 2 cited

Motion groupoids and mapping class groupoids

Fiona Torzewska, João Faria Martins, Paul Purdon Martin

Here denotes a pair of a manifold and a subset (e.g. or ). We construct for each its motion groupoid $\mathrm{Mo…