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pro vyhledávání: '"Henriques, Andre"'
Autor:
Henriques, André G., Tener, James E.
The Lie algebra of vector fields on $S^1$ integrates to the Lie group of diffeomorphisms of $S^1$. It is well known since the work of Segal and Neretin that there is no Lie group whose Lie algebra is the complexification of vector fields on $S^1$. A
Externí odkaz:
http://arxiv.org/abs/2410.05929
In our article [arXiv:1511.05226], we studied the commutant $\mathcal{C}'\subset \operatorname{Bim}(R)$ of a unitary fusion category $\mathcal{C}$, where $R$ is a hyperfinite factor of type $\rm II_1$, $\rm II_\infty$, or $\rm III_1$, and showed that
Externí odkaz:
http://arxiv.org/abs/2307.13822
In our previous article [arXiv:1607.06041], we established an equivalence between pointed pivotal module tensor categories and anchored planar algebras. This article introduces the notion of unitarity for both module tensor categories and anchored pl
Externí odkaz:
http://arxiv.org/abs/2301.11114
Autor:
Henriques, André, Penneys, David
A bicommutant category is a higher categorical analog of a von Neumann algebra. We study the bicommutant categories which arise as the commutant $\mathcal{C}'$ of a fully faithful representation $\mathcal{C}\to\operatorname{Bim}(R)$ of a unitary fusi
Externí odkaz:
http://arxiv.org/abs/2004.08271
We prove that finite-index conformal nets are fully dualizable objects in the 3-category of conformal nets. Therefore, assuming the cobordism hypothesis applies, there exists a local framed topological field theory whose value on the point is any fin
Externí odkaz:
http://arxiv.org/abs/1905.03393
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Autor:
Henriques, Andre
We show that loop groups and the universal cover of $\mathrm{Diff}_+(S^1)$ can be expressed as colimits of groups of loops/diffeomorphisms supported in subintervals of $S^1$. Analogous results hold for based loop groups and for the based diffeomorphi
Externí odkaz:
http://arxiv.org/abs/1706.08471
Autor:
Henriques, Andre
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 net. In the special case of a chiral WZW conformal net with finite ind
Externí odkaz:
http://arxiv.org/abs/1701.02052
Autor:
Henriques, Andre
We prove that conformal nets of finite index are an instance of the notion of a factorization algebra. This result is an ingredient in our proof that, for $G=SU(n)$, the Drinfel'd center of the category of positive energy representations of the based
Externí odkaz:
http://arxiv.org/abs/1611.05529
We generalize Jones' planar algebras by internalising the notion to a pivotal braided tensor category $\mathcal{C}$. To formulate the notion, the planar tangles are now equipped with additional `anchor lines' which connect the inner circles to the ou
Externí odkaz:
http://arxiv.org/abs/1607.06041