Products of pairs of Dehn twists and maximal real Lefschetz fibrations

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Date
2011
Volume
2011-32
Issue
Journal
Series Titel
Oberwolfach Preprints (OWP)
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Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
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Abstract

We address the problem of existence and uniqueness of a factorization of a given element of the modular group into a product of two Dehn twists. As a geometric application, we conclude that any maximal real elliptic Lefschetz bration is algebraic.

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