ONO, Kaoru
Name
ONO, Kaoru
Position
Professor
E-Mail
ono (email address: add @kurims.kyoto-u.ac.jp)
Research
Kaoru Ono is working on symplectic geometry, in particular Floer
theory and holomorphic curves
in symplectic manifolds. In a joint work with K. Fukaya, he
constructed Floer cohomology of
Hamiltonian diffeomorphisms on arbitrary closed symplectic manifolds
as well as Gromov-Witten
invariants. Using Novikov-Floer cohomology, he proved the $C^1$-flux
conjecture.
In recent years, he has been collaborating with Fukaya, Oh and Ohta in
Floer theory
for Lagrangian submanifolds and its implications in symplectic
geometry and homological mirror
symmetry.