With Joan Licata (19 pages) – on the arXiv – published in the 2016 MATRIX annals.
Abstract: The first author in recent work with D. Gay developed the notion of a Morse structure on an open book as a tool for studying closed contact 3-manifolds. We extend the notion of Morse structure to extendable partial open books in order to study contact 3-manifolds with convex boundary.
Local pdf available here (1.2 MB).
morse_structures_partial_open_booksMorse structures on partial open books with extendable monodromy