4 papers · 1 filter
Complementary legs and symplectic rational balls
John B. Etnyre, Burak Ozbagci, Bülent Tosun
We show that a small Seifert fibered space with complementary legs does not symplectically bound a rational homology ball for at least one choice of orientation. In the case $e_0\l…
Lefschetz fibrations on nonorientable 4-manifolds
Maggie Miller, Burak Ozbagci
Let be a nonorientable -dimensional handlebody without - and -handles. We show that admits a Lefschetz fibration over the -disk, whose regular fiber is a nonori…
Stein and Weinstein structures on disk cotangent bundles of surfaces
Burak Ozbagci
In 1998, Gompf described a Stein domain structure on the disk cotangent bundle of any closed surface S, by a Legendrian handlebody diagram. We prove that Gompf's Stein domain is sy…
Explicit horizontal open books on some plumbings
Tolga Etgü, Burak Ozbagci
We describe explicit open books on arbitrary plumbings of oriented circle bundles over closed oriented surfaces. We show that, for a non-positive plumbing, the open book we constru…