Lefschetz fibrations and Torelli groups

R. Inanc Baykur; Dan Margalit

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arXiv · 1210.7824

Lefschetz fibrations and Torelli groups

R. Inanc Baykur·Dan Margalit

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Abstract

For each g > 2 and h > 1, we explicitly construct (1) fiber sum indecomposable relatively minimal genus g Lefschetz fibrations over genus h surfaces whose monodromies lie in the Torelli group, (2) fiber sum indecomposable genus g surface bundles over genus h surfaces whose monodromies are in the Torelli group (provided g > 3), and (3) infinitely many genus g Lefschetz fibrations over genus h surfaces that are not fiber sums of holomorphic ones.

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R. Inanc Baykur, Dan Margalit. 2012-10-29. Lefschetz fibrations and Torelli groups. https://arxiv.org/abs/1210.7824

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