16-18 October 2013
Université d'Angers
Europe/Paris timezone

Cubic quotients of braid groups and the Links-Gould polynomial

17 Oct 2013, 17:30
45m
Amphi L005 (bâtiment L) (Université d'Angers)

Amphi L005 (bâtiment L)

Université d'Angers

Université d'Angers, 2 Boulevard Lavoisier, 49045 Angers cedex 01
Exposé de recherche sur invitation Topologie algébrique et applications

Speaker

Prof. Ivan Marin (LAMFA, Université de Picardie)

Description

One of the 'small' quantum (super-)groups provides an interesting polynomial invariant of knots and links, known as the Links-Gould polynomial. As opposed to its more famous cousins, (the Alexander, Jones, Homfly-pt and Kaufmann polynomials), its natural algebraic counterpart, which should be a quotient of the group algebra of the braid group was not understood at all. I will present recent progress on this subject, obtained in a joint work with E. Wagner. This progress is based on remarkable properties of the cubic quotients of the braid groups, which are of independent interest.
Mots Clés / Keywords Cubic quotients; braid groups

Primary author

Prof. Ivan Marin (LAMFA, Université de Picardie)

Presentation Materials

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