Trisections of 4-manifolds with boundary.
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- Record sourced from PubMed, PMID 30348804.
- Also identified by DOI 10.1073/pnas.1717170115 and PMC identifier 6205499.
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Abstract
Given a handle decomposition of a 4-manifold with boundary and an open book decomposition of the boundary, we show how to produce a trisection diagram of a trisection of the 4-manifold inducing the given open book. We do this by making the original proof of the existence of relative trisections more explicit in terms of handles. Furthermore, we extend this existence result to the case of 4-manifolds with multiple boundary components and show how trisected 4-manifolds with multiple boundary components glue together.