Kirby diagrams of 4-dimensional open books

2023/06/29 by Hsueh, Chun-Sheng · 3 citations
#57K40 (Primary) #57K45 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2306.16942

Abstract

We provide an algorithm for constructing a Kirby diagram of a 4-dimensional open book given a Heegaard diagram of the page. As an application, we show that an open book constructed with arbitrary page and trivial monodromy is diffeomorphic to an open book constructed with a punctured handlebody as page and a composition of torus twists and sphere twists as monodromy.

Cited by

• A note on codimension 2 spun embedding
• Twist maps and codimension-1 spun embeddings
• Handle decompositions and stabilizations of open books

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