Kenji Fukaya : Cyclic homology in Lagrangian Floer theory and pseudo-holomorphic curve #1/3

Abstract: Cyclic homology of A-infinity algebras or categories appearing in Lagrangian Floer thoery is expected to be related to the S^1-equivariant quantum cohomology or symplectic homology of the ambient symplectic manifold. It is also important to generalize Lagrangian Floer theory including pseudo-holomorphic curves from more general bordered Riemann surfaces than a disk. I will explain these issues and some of the techniques toward establishing such results.