54 citations · 61 across the 4 of their papers we have counts for
5 papers
Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle
Cheol-Hyun Cho
We show that in many examples the non-displaceability of Lagrangian submanifolds by Hamiltonian isotopy can be proved via Lagrangian Floer cohomology with non-unitary line bundle.…
Strong homotopy inner product of an A-infinity algebra
Cheol-Hyun Cho
We introduce a strong homotopy notion of a cyclic symmetric inner product of an A-infinity algebra and prove a characterization theorem in the formalism of the infinity inner produ…
Counting real pseudo-holomorphic discs and spheres in dimension four and six
Cheol-Hyun Cho
First, we provide another proof that the signed count of the real -holomorphic spheres (or -holomorphic discs) passing through a generic real configuration of points is i…
Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
Cheol-Hyun Cho, Yong-Geun Oh
In this paper, we first provide an explicit description of {\it all} holomorphic discs (``disc instantons'') attached to Lagrangian torus fibers of arbitrary compact toric manifold…
Holomorphic disc, spin structures and Floer cohomology of the Clifford torus
Cheol-Hyun Cho
We compute the Bott-Morse Floer cohomology of the Clifford torus in $\CP^n$ with all possible spin-structures. Each spin structure is known to determine an orientation of the modul…