output
19962026
most citedPseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

1.7k citations

Showing math.GTShow all

22 papers · 1 filter

math.GT2021

Minimal number of singular fibers in a nonorientable Lefschetz fibration

Sinem Onaran, Burak Ozbagci

We show that there exists an admissible nonorientable genus Lefschetz fibration with only one singular fiber over a closed orientable surface of genus if and only if $g \ge…

math.GT2020★ 6 cited

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…

math.GT2020

On open books for nonorientable 3-manifolds

Burak Ozbagci

We show that the monodromy of Klassen's genus two open book for is the -homeomorphism of Lickorish, which is also known as the crosscap slide. Similarly, we sho…

math.GT2018★ 2 cited

Genus one Lefschetz fibrations on disk cotangent bundles of surfaces

Burak Ozbagci

We describe a Lefschetz fibration of genus one on the disk cotangent bundle of any closed orientable surface S. As a corollary, we obtain an explicit genus one open book decomposit…

math.GT2016★ 5 cited

Fillings of unit cotangent bundles of nonorientable surfaces

Youlin Li, Burak Ozbagci

We prove that any minimal weak symplectic filling of the canonical contact structure on the unit cotangent bundle of a nonorientable closed surface other than the real projective p…

math.GT2016★ 2 cited

Canonical contact unit cotangent bundle

Takahiro Oba, Burak Ozbagci

We describe an explicit open book decomposition adapted to the canonical contact structure on the unit cotangent bundle of a compact surface.