Add to ORKGIn this paper, we endow the family of closed oriented genus $g$ surfaces, starting with torus, with a structure of a (co)cyclic object in the category of $3$-dimensional cobordisms. As a corollary, any $3$-dimensional TQFT induces a (co)cyclic module, which we compute algebraically for the Reshetikhin-Turaev TQFT.Comment: 48 pages, many figures. Minor changes done. Comments are still welcome
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
In $1998$, Connes and Moscovici defined the cyclic cohomology of Hopf algebras. In $2010$, Khalkhali...
Une théorie des champs quantique topologique (TQFT) en dimension 3 est un foncteur monoidal symétriq...
In this paper, we endow the family of closed oriented genus $g$ surfaces, starting with torus, with ...
In this thesis we study cyclic objects and their interplay with quantum invariants and topological f...
Dans cette thèse, nous étudions les objets cycliques et leurs interactions avec les invariants quant...
In this paper, we first endow the set of ribbon string links (up to isotopy) with a structure of a c...
In work with David Ben-Zvi and Adrien Brochier, we introduced a (would-be) 4-D topological field the...
It is proved in \cite{BP} (arXiv:1108.2717) that the category of relative 3-dimensional cobordisms $...
It is proved in \cite{BP} (arXiv:1108.2717) that the category of relative 3-dimensional cobordisms $...
It is proved in \cite{BP} (arXiv:1108.2717) that the category of relative 3-dimensional cobordisms $...
In work with David Ben-Zvi and Adrien Brochier, we introduced a (would-be) 4-D topological field the...
A 3-dimensional topological quantum field theory (TQFT) is a symmetric monoidal functor from the cat...
We use modified traces to renormalize Lyubashenko's closed 3-manifold invariants coming from twist n...
Quantum computing is captured in the formalism of the monoidal subcategory of $\textbf{Vect}_{\mathb...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
In $1998$, Connes and Moscovici defined the cyclic cohomology of Hopf algebras. In $2010$, Khalkhali...
Une théorie des champs quantique topologique (TQFT) en dimension 3 est un foncteur monoidal symétriq...
In this paper, we endow the family of closed oriented genus $g$ surfaces, starting with torus, with ...
In this thesis we study cyclic objects and their interplay with quantum invariants and topological f...
Dans cette thèse, nous étudions les objets cycliques et leurs interactions avec les invariants quant...
In this paper, we first endow the set of ribbon string links (up to isotopy) with a structure of a c...
In work with David Ben-Zvi and Adrien Brochier, we introduced a (would-be) 4-D topological field the...
It is proved in \cite{BP} (arXiv:1108.2717) that the category of relative 3-dimensional cobordisms $...
It is proved in \cite{BP} (arXiv:1108.2717) that the category of relative 3-dimensional cobordisms $...
It is proved in \cite{BP} (arXiv:1108.2717) that the category of relative 3-dimensional cobordisms $...
In work with David Ben-Zvi and Adrien Brochier, we introduced a (would-be) 4-D topological field the...
A 3-dimensional topological quantum field theory (TQFT) is a symmetric monoidal functor from the cat...
We use modified traces to renormalize Lyubashenko's closed 3-manifold invariants coming from twist n...
Quantum computing is captured in the formalism of the monoidal subcategory of $\textbf{Vect}_{\mathb...
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular categor...
In $1998$, Connes and Moscovici defined the cyclic cohomology of Hopf algebras. In $2010$, Khalkhali...
Une théorie des champs quantique topologique (TQFT) en dimension 3 est un foncteur monoidal symétriq...