Vol. 267, No. 1, 2014

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Lefschetz fibrations with small slope

Naoyuki Monden

Vol. 267 (2014), No. 1, 243–256
Abstract

We construct Lefschetz fibrations over S2 which do not satisfy the slope inequality. This disproves a conjecture of Hain.

Keywords
Lefschetz fibration, mapping class group, slope
Mathematical Subject Classification 2010
Primary: 57R20
Secondary: 57N13, 14D06, 20F38
Milestones
Received: 1 November 2012
Revised: 19 May 2013
Accepted: 23 May 2013
Published: 22 December 2013
Authors
Naoyuki Monden
Department of Mathematics
Kyoto University
Graduate School of Science
Kyoto
Japan