Taut foliations from knot diagrams (Diego Santoro, University of Vienna)

16.05.2024 14:15

Taut foliations have been a classical object of study in 3-manifolds theory. Recently, new interest in them has come from the investigation of the so-called "L-space conjecture", that predicts that Heegaard Floer L-spaces can be characterised as those 3-manifolds that do not admit coorientable taut foliations. A possible approach to the study of this conjecture is by analysing surgeries on knots and links. Most of the techniques employed for constructing taut foliations on Dehn surgeries usually make use of some special property of the exterior of the link (e.g. fiberedness). In this talk I will describe a procedure for constructing taut foliations that only makes use of diagrammatic properties of the knot.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Topologie et Géométrie"

entrée libre