The self linking number and planar open books

Keiko Kawamuro (University of Iowa)

Abstract: Combining Giroux, Bennequin and Pavelescu's results, we can identify a transverse knot in a contact manifold with a braid in an open book. Using this identification, I will describe the self linking number of null-homologous transverse knots in a contact 3-manifold admitting a planar open book decomposition.