Simplified broken Lefschetz fibrations and trisections of 4-manifolds
Simplified broken Lefschetz fibrations and trisections of 4-manifolds
Shapes of four dimensional 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, in order to derive simple decompositions into much better understood manifold pieces. Our methods not only allow us to produce …