The monodromy group of a positive braid, and invariant framings.

18.04.2024 14:15 – 16:00

The geometric monodromy group is a classical yet rather poorly understood topological invariant of isolated plane curve singularities. In this talk we will discuss a generalization of it to the setting of positive braids and see how working in this wider context can help understanding the original invariant of singularity theory. In particular we obtain that, for irreducible singularities not of type An, up to finitely many exceptions the geometric monodromy group is determined by two simple knot invariants: the genus and the Arf invariant. Our main technical tool are invariant framings on surfaces. If time permits, we will end with a discussion on the application of such techniques to the study of more general fibred links.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Topologie et Géométrie"

entrée libre