Universal Lefschetz fibrations over bounded surfaces

Zuddas, Daniele

doi:10.2140/agt.2012.12.1811

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Universal Lefschetz fibrations over bounded surfaces

Daniele Zuddas

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 2010

Primary: 55R55

Secondary: 57N13

References

Publication

Received: 22 November 2011

Revised: 30 April 2012

Accepted: 7 July 2012

Published: 25 August 2012

Authors

Daniele Zuddas
Dipartimento di Matematica e Informatica Università di Cagliari Via Ospedale 72 09124 Cagliari Italy

Volume 12, issue 3 (2012)