Showing math.GTShow all
3 papers · 1 filter
math.GT2025
Constructing Lefschetz Fibrations with Arbitrary Slope
Tulin Altunoz, Adalet Cengel
We prove that for any rational number , there exists a genus- Lefschetz fibration over the two-sphere with large enough genus- having the slope is .
math.GT2020
Low-slope Lefschetz fibrations
Adalet Cengel, Mustafa Korkmaz
For , we construct genus- Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to . The total spaces of the Lefschetz fibrations can be chosen…
math.GT2019
Partial fiber sum decompositions and signatures of Lefschetz fibrations
Adalet Çengel, Çağrı Karakurt
In his Ph.D. thesis, Burak Ozbagci described an algorithm computing signatures of Lefschetz fibrations where the input is a factorization of the monodromy into a product of Dehn tw…