30 citations · 194 across the 35 of their papers we have counts for
50 papers
Lefschetz fibrations with handlebody monodromy
R. Inanc Baykur, Susumu Hirose
We study relatively minimal Lefschetz fibrations over closed oriented surfaces whose monodromy extends over a fixed 3--dimensional handlebody. If is the total space and …
Exotic S^2 x S^2 candidates that are just fake
R. İnanç Baykur
We show that two infinite families of homology 's presented in \cite{FPS, AP}, originally proposed as exotic candidates, are aspherical. In particular, none of these…
Small Lefschetz fibrations on the BMY line
R. İnanç Baykur, András I. Stipsicz, Zoltán Szabó
We give explicit positive factorizations for a genus-19 Lefschetz fibration over the torus and a family of genus-4 Lefschetz fibrations over a genus-2 surface. All these examples h…
Sections, pseudosections, and multisections of Lefschetz fibrations
R. Inanc Baykur, Noriyuki Hamada
We show that not every symplectic Lefschetz fibration over the --sphere admits a smooth section, settling a long-standing open problem. To prove this, we develop a method for st…
Irreducible exotic 's with free involutions
R. İnanç Baykur, András I. Stipsicz, Zoltán Szabó
We construct infinitely many pairwise non-diffeomorphic irreducible smooth four-manifolds homeomorphic to , each ad…
Exotic knottings and symmetries of surfaces in 4-manifolds
R. Inanc Baykur, Nathan Sunukjian
We study exotic knottings of surfaces in 4-manifolds through their ambient symmetries. We first give a general recipe for producing projectively rigid surfaces, for which every smo…