Seidel's long exact sequence on Calabi-Yau manifolds
arXiv:1002.1648 · doi:10.1215/21562261-1299936
Abstract
In this paper, we generalize construction of Seidel's long exact sequence of Lagrangian Floer cohomology to that of compact Lagrangian submanifolds with vanishing Malsov class on general Calabi-Yau manifolds. We use the framework of anchored Lagrangian submanifolds developed in \cite{fooo:anchor} and some compactness theorem of \emph{smooth} -holomorphic sections of Lefschetz Hamiltonian fibration for a generic choice of . The proof of the latter compactness theorem involves a study of proper pseudoholomorphic curves in the setting of noncompact symplectic manifolds with cylindrical ends.
59 pages, comments welcome