105 citations · 105 across the 1 of their papers we have counts for
3 papers
math.CT2019
High-level methods for homotopy construction in associative -categories
David Reutter, Jamie Vicary
A combinatorial theory of associative -categories has recently been proposed, with strictly associative and unital composition in all dimensions, and the weak structure arising…
math.QA2018★ 105 cited
Fusion 2-categories and a state-sum invariant for 4-manifolds
Christopher L. Douglas, David J. Reutter
We introduce semisimple 2-categories, fusion 2-categories, and spherical fusion 2-categories. For each spherical fusion 2-category, we construct a state-sum invariant of oriented s…
quant-ph2018
Shaded tangles for the design and verification of quantum circuits
David J. Reutter, Jamie Vicary
We give a scheme for interpreting shaded tangles as quantum circuits, with the property that if two shaded tangles are ambient isotopic, their corresponding computational effects a…