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Abstract
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We construct Lefschetz fibrations over
which do not satisfy the slope inequality. This disproves a conjecture of
Hain.
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Keywords
Lefschetz fibration, mapping class group, slope
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Mathematical Subject Classification 2010
Primary: 57R20
Secondary: 57N13, 14D06, 20F38
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Milestones
Received: 1 November 2012
Revised: 19 May 2013
Accepted: 23 May 2013
Published: 22 December 2013
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