Sur quelques travaux de Pierre Vogel Sur l'algèbre de diagrammes

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Sur quelques travaux de Pierre Vogel (3) Sur l'algèbre de diagrammes ? Christine Lescop CNRS, Institut Fourier, Grenoble IHP 27-28 octobre 2010 Background on quantum and Vassiliev invariants The algebra ? Knots in R3 are closures of braids . (Alexander) [Representation of links by braids: a new algorithm. Comment. Math. Helv. (1990)] Sur quelques travaux de Pierre Vogel Background on quantum and Vassiliev invariants The algebra ? 1984, construction of Jones polynomial from representations of braid groups. Many generalisations involving quantum group representations or representations of Hecke algebras. [Représentations et traces des algèbres de Hecke. Enseign. Math. (1988)] Sur quelques travaux de Pierre Vogel Background on quantum and Vassiliev invariants The algebra ? 1988, Witten-Reshetikhin-Turaev invariants of 3-manifolds. Construction simplified by Lickorish and extended by Blanchet, Habegger, Masbaum and Vogel to a topological quantum field theory satisfying the Atiyah axioms of a TQFT. [Blanchet, Habegger, Masbaum, Vogel, Topological quantum field theories derived from the Kauffman bracket. Topology (1995)] Photos : Jean-Yves Le Dimet Sur quelques travaux de Pierre Vogel

  • vassiliev invariant

  • quantum group

  • blanchet-habegger-masbaum-vogel tqft

  • habegger

  • algèbre de diagrammes ?

  • ?n ?

  • masbaum

  • invariant tensor

  • jacobi


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Published 01 October 2010
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Sur quelques travaux de Pierre Vogel (3) Sur l’algÈbre de diagrammesΛ
Christine Lescop
CNRS, Institut Fourier, Grenoble
IHP 27-28 octobre 2010
Background on quantum and Vassiliev invariants The algebraΛ
1984, construction of Jones polynomial from representations of braid groups. Many generalisations involving quantum group representations or representations of Hecke algebras.
[ReprÉsentations et traces des algÈbres de Hecke.Enseign. Math. (1988)] Sur quelques travaux de Pierre Vogel
Background on quantum and Vassiliev invariants The algebraΛ
3 Knots inRare closures of braids
. (Alexander)
[Representation of links by braids: a new algorithm.Comment. Math. Helv. (1990)]
Background on quantum and Vassiliev invariants The algebraΛ
Sur quelques travaux de Pierre Vogel
1988,Witten-Reshetikhin-Turaev invariants of 3-manifolds. Construction simplified by Lickorish and extended by Blanchet, Habegger, Masbaum and Vogel to atopological quantum field theory satisfying the Atiyah axioms of a TQFT.
[Blanchet, Habegger, field theories derived (1995)]
Masbaum, Vogel,Topological quantum from the Kauffman bracket.Topology Photos : Jean-Yves Le Dimet
Sur quelques travaux de Pierre Vogel