Vendredi, 27 Mai, 2011 - 12:30
Prénom de l'orateur :
Thomas
Nom de l'orateur :
Fiedler
Résumé :
We construct the first quantum one-cocycles for tangles. There values live in a refined graded HOMFLYPT skein module of five variables. As a first application we show that there are already two-component string links, which are not isotopic to any partially closed braid. As another application we show that our one-cocycles can detect wether a braid is pseudo-Anosov. We formulate an analogue of Kashaevs volume conjecture: the stretching factor of a pseudo-Anosov braid is the limit under iteration of the braid of a certain value of our one-cocycle applied to the rotation of the braid.
Institution de l'orateur :
Toulouse
Thème de recherche :
Topologie
Salle :
04