Simplified broken Lefschetz fibrations and trisections of 4-manifolds

R. Inanç Baykur, Osamu Saeki

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 betterunderstood 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.

Original languageEnglish
Pages (from-to)10894-10900
Number of pages7
JournalProceedings of the National Academy of Sciences of the United States of America
Volume115
Issue number43
DOIs
Publication statusPublished - Oct 23 2018

All Science Journal Classification (ASJC) codes

  • General

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