22 citations · 101 across the 37 of their papers we have counts for
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math.GT1998
Minimal number of singular fibers in a Lefschetz fibration
Mustafa Korkmaz, Burak Ozbagci
There exists a (relatively minimal) genus g Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus h iff g>2 and h>1. The singular fiber can be c…
math.GT1998★ 2 cited
Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations
Burak Ozbagci, András I. Stipsicz
We construct noncomplex smooth 4-manifolds which admit genus-2 Lefschetz fibrations over S^2. The fibrations are necessarily hyperelliptic, and the resulting 4-manifolds are not ev…
math.GT1998
Signatures of Lefschetz fibrations
Burak Ozbagci
Let M be a smooth 4-manifold which admits a genus g Lefschetz fibration over D^2 or S^2. We develop a technique to compute the signature of M using the global monodromy of this fib…