Lefschetz fibrations and Torelli groups

2012/10/29 by R. İnanç Baykur, Dan Margalit, Baykur, R. Inanc +1
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1210.7824

openalex publication_date 2012/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

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• Minimality and fiber sum decompositions of Lefschetz fibrations
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• Fiber sums of genus 2 Lefschetz fibrations
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