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On sections of genus
two Lefschetz fibrations
Sinem Çelik Onaran |
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Vol. 248 (2010), No. 1, 203–216
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Abstract |
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We find new relations in the mapping class group of a genus 2 surface with n boundary components for n = 1,…,8 that induce a genus 2 Lefschetz fibration CP2 # 13CP2 → S2 with n disjoint sections. As a consequence, we show any holomorphic genus 2 Lefschetz fibration without separating singular fibers admits a section. |
Keywords
Lefschetz fibrations, sections of Lefschetz fibrations.
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Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 57R17
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Milestones
Received: 4 October 2009
Accepted: 25 January 2010
Published: 1 October 2010
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Authors |
| Sinem Çelik Onaran | |
| Department of Mathematics Middle East Technical University Ankara Turkey |
School of Mathematics Georgia Institute of Technology Atlanta, GA United States |
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