The existence of an indecomposable minimal genus two lefschetz fibration

Anar Akhmedov; Naoyuki Monden

The existence of an indecomposable minimal genus two lefschetz fibration

Anar Akhmedov, Naoyuki Monden

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

It was shown by Usher that any fiber sum of Lefschetz fibrations over S² is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists a genus-2 indecomposable minimal Lefschetz fibration (IMLF for short).

Original language	English (US)
Pages (from-to)	29-36
Number of pages	8
Journal	Osaka Journal of Mathematics
Volume	58
Issue number	1
State	Published - Jan 2021

Bibliographical note

Funding Information:
Acknowledgements. A. Akhmedov was partially supported by Simons Research Fellowship and Collaboration Grants for Mathematicians by Simons Foundation. N. Monden was supported by Grant-in-Aid for Young Scientists (B) (No. 16K17601), Japan Society for the Promotion of Science. First author would like to thank Simons Foundation for supporting this project and the Department of Mathematics at Harvard University for its hospitality. Both authors would like to thank the referee for the valuable comments and suggestions that helped them to improve the presentation of this paper.

Publisher Copyright:
© 2021, Osaka University. All rights reserved.

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The existence of an indecomposable minimal genus two lefschetz fibration

Abstract

Bibliographical note

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