Low-slope Lefschetz fibrations

Çengel, Adalet
Korkmaz, Mustafa
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.
Journal of Topology and Analysis


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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.