Algebraic & Geometric Topology 12 (2012) 1811–1829

DOI: 10.2140/agt.2012.12.1811

Abstract

In analogy with the vector bundle theory we define universal and strongly universal Lefschetz fibrations over bounded surfaces. After giving a characterization of these fibrations we construct very special strongly universal Lefschetz fibrations when the fiber is the torus or an orientable surface with connected boundary and the base surface is the disk. As a by-product we also get some immersion results for 4–dimensional 2–handlebodies.

Keywords

universal Lefschetz fibration, Dehn twist, 4–manifold

Mathematical Subject Classification

Primary: 55R55

Secondary: 57N13

References

Publication

Received: 22 November 2011
Revised: 30 April 2012
Accepted: 7 July 2012
Published: 25 August 2012

Authors