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Products of pairs of Dehn twists and maximal real Lefschetz fibrations

Published online by Cambridge University Press:  11 January 2016

Alex Degtyarev  and
Nermin Salepci
Alex Degtyarev
Affiliation:
Department of Mathematics, Bilkent University, 06800 Ankara, Turkey, degt@fen.bilkent.edu.tr
Nermin Salepci
Affiliation:
Institut Camille Jordan, 69622 Villeurbanne CEDEX, France, salepci@math.univ-lyon1.fr
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Abstract

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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 fibration is algebraic.

Keywords

14P2557M6020F3611F06
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 210 , June 2013 , pp. 83 - 132
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

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