Séminaires : Séminaire de Topologie

Equipe(s) : tga,
Responsables :Catherine Gille et Najib Idrissi
Email des responsables :
Salle : 1016
Adresse :Sophie Germain
Description

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Orateur(s) Daniel Lopez - IMJ-PRG,
Titre Hopf algebras and topological invariants of sutured 3-manifolds
Date05/11/2019
Horaire10:30 à 11:30
Résume

Topological invariants of knots and 3-manifolds can be constructed either using tools from algebraic topology (classical invariants) or via the representation theory of certain Hopf algebras (quantum invariants). In this talk we will discuss another approach, due to G. Kuperberg, that associates (quantum) invariants to closed 3-manifolds directly from an arbitrary finite dimensional Hopf algebra. We will show that, at least when the Hopf algebra is involutive, this approach can be extended to sutured 3-manifolds, a common generalization of closed 3-manifolds, knot complements and Seifert surface complements. When specialized to an exterior Hopf algebra, we show that this extension recovers a classical invariant: the Reidemeister torsion and its twisted versions.

Salle1016
AdresseSophie Germain
© IMJ-PRG