Videos

Nonorientable broken Lefschetz fibrations

Presenter
July 17, 2024
Abstract
Broken Lefschetz Fibrations (BLFs) are surjections from a 4-manifold to a sphere with only Lefschetz and indefinite fold singularities. Unlike Lefschetz fibrations, any generic map M^4\to S^2 is homotopic to a BLF. Among BLFs, a particularly nice subset is Simplified Broken Lefschetz Fibrations, which give an explicit handlebody decomposition of their source manifold. In this talk, we’ll review the basic topology of simplified BLFs for closed, smooth, nonorientable 4-manifolds. Then we’ll use simplified BLFs to construct an explicit embedding of nonorientable 4-manifolds into certain 6-manifolds.