Vol. 202, No. 1, 2002

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Signatures of Lefschetz fibrations

Burak Ozbagci

Vol. 202 (2002), No. 1, 99–118
Abstract

Let M be a smooth 4-manifold which admits a Lefschetz fibration over D2 or S2. We develop an algorithm to compute the signature of M using the global monodromy of this fibration. As a corollary we prove that there is no hyperelliptic Lefschetz fibration over S2 with only reducible singular fibers.

Milestones
Received: 8 January 2000
Revised: 7 March 2000
Published: 1 January 2002
Authors
Burak Ozbagci
Department of Mathematics
Michigan State University
East Lansing, MI 48824-1028