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math.QA2018★ 8 cited
Representations of the Necklace Braid Group: Topological and Combinatorial Approaches
Alex Bullivant, Andrew Kimball, Paul Martin +1
The necklace braid group is the motion group of the component necklace link in Euclidean . Here consists of …
math-ph2018★ 12 cited
Representations of the Loop Braid Group and Aharonov-Bohm like effects in discrete (3+1)-dimensional higher gauge theory
Alex Bullivant, João Faria Martins, Paul Martin
We show that representations of the loop braid group arise from Aharonov-Bohm like effects in finite 2-group (3+1)-dimensional topological higher gauge theory. For this we introduc…