With Joan Licata (19 pages).

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.

On the arXiv.

Local pdf available here (1.2 MB).

morse_structures_partial_open_books
Morse structures on partial open books with extendable monodromy

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