Foliated Open Books ---or, How I Learned to Stop Worrying About How to Glue Open Books

Joan Licata (ANU)

Abstract

In this talk, I'll discuss recent joint work with Vera Vertesi to develop a new version of an open book decomposition for contact three-manifolds. Our foliated open books join a zoo of existing types of open books, so I'll focus on the senses in which ours is a natural construction which provides a user-friendly approach to cutting and gluing.