100 citations · 224 across the 29 of their papers we have counts for
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Classification of finite depth objects in bicommutant categories via anchored planar algebras
André Henriques, David Penneys, James Tener
In our article [arXiv:1511.05226], we studied the commutant of a unitary fusion category , where is a hyperfinite facto…
Representations of fusion categories and their commutants
André Henriques, David Penneys
A bicommutant category is a higher categorical analog of a von Neumann algebra. We study the bicommutant categories which arise as the commutant of a fully faithful…
Bicommutant categories from conformal nets
Andre Henriques
We prove that the category of solitons of a finite index conformal net is a bicommutant category, and that its Drinfel'd center is the category of representations of the conformal…
Bicommutant categories from fusion categories
André Henriques, David Penneys
Bicommutant categories are higher categorical analogs of von Neumann algebras that were recently introduced by the first author. In this article, we prove that every unitary fusion…
Conformal nets III: fusion of defects
Arthur Bartels, Christopher L. Douglas, André Henriques
Conformal nets provides a mathematical model for conformal field theory. We define a notion of defect between conformal nets, formalizing the idea of an interaction between two con…
Conformal nets I: coordinate-free nets
Arthur Bartels, Christopher L. Douglas, André Henriques
We describe a coordinate-free perspective on conformal nets, as functors from intervals to von Neumann algebras. We discuss an operation of fusion of intervals and observe that a c…