Low-slope Lefschetz fibrations

Date

2021-01-01

Author

Çengel, Adalet
Korkmaz, Mustafa

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For any g ≥ 3, we construct genus-g Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to 2. The total spaces of the Lefschetz fibrations can be chosen to be minimal and simply connected. It is also shown that the infimum and the supremum of slopes of all Lefschetz fibrations over the two-sphere are not realized as slopes.

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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85108193873&origin=inward
https://hdl.handle.net/11511/91376

Journal

Journal of Topology and Analysis

DOI

https://doi.org/10.1142/s1793525321500394

Collections

Department of Mathematics, Article

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Citation Formats

A. Çengel and M. Korkmaz, “Low-slope Lefschetz fibrations,” Journal of Topology and Analysis, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85108193873&origin=inward.