Universal Lefschetz fibrations and Lefschetz cobordisms

Abstract

We construct universal Lefschetz fibrations, defined in analogy with classical universal bundles. We also introduce the cobordism groups of Lefschetz fibrations, and we see how these groups are quotients of the singular bordism groups via the universal Lefschetz fibrations.

14 pages; minor revision to match the published version

References in corpus (4)

• Multisections of Lefschetz fibrations and topology of symplectic 4-manifolds
• Topology of broken Lefschetz fibrations and near-symplectic 4-manifolds
• Existence of broken Lefschetz fibrations
• On embeddings of almost complex manifolds in almost complex Euclidean spaces