6 citations · 6 across the 5 of their papers we have counts for
6 papers
A Filtration on Equivariant Borel-Moore Homology
Aram Bingham, Mahir Bilen Can, Yıldıray Ozan
Let be a homogeneous variety, and let be a -equivariant embedding of such that the number of -orbits in is finite. We show that the equivariant Borel-Moore…
Self-Dual metrics on non-simply connected 4-manifolds
Hülya Argüz, Mustafa Kalafat, Yıldıray Ozan
We construct self-dual(SD) but not locally conformally flat(LCF) metrics on families of non-simply connected 4-manifolds with small signature. We construct various sequences with b…
Trace Homomorphism for Smooth Manifolds
Yildiray Ozan
Let be a closed connected smooth manifold and denote the connected component of the diffeomorphism group of containing the identity. The natural acti…
Triviality of symplectic SU(2)-actions on homology
Yildiray Ozan
Lalonde and McDuff showed that the natural action of the rational homology of the group of Hamiltonian diffeomorphisms of a closed symplectic manifold on the rational homo…
Relative Flux Homomorphism in Symplectic Geometry
Yildiray Ozan
In this work we define a relative version of the flux homomorphism, introduced by Calabi in 1969, for a symplectic manifold. We use it to study (the universal cover of) the group o…
On cohomology of invariant submanifolds of Hamiltonian actions
Yildiray Ozan
In this note we prove the following theorem: Let be a compact Lie group acting on a compact symplectic manifold in a Hamiltonian fashion. If is an -dimensional close…