Simplified broken Lefschetz fibrations and trisections of 4-manifolds.
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- Record sourced from PubMed, PMID 30348799.
- Also identified by DOI 10.1073/pnas.1717175115 and PMC identifier 6205448.
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Abstract
Shapes of 4D spaces can be studied effectively via maps to standard surfaces. We explain, and illustrate by quintessential examples, how to simplify such generic maps on 4-manifolds topologically, to derive simple decompositions into much better-understood manifold pieces. Our methods not only allow us to produce various interesting families of examples but also to establish a correspondence between simplified broken Lefschetz fibrations and simplified trisections of closed, oriented 4-manifolds.