Seidel's long exact sequence on Calabi-Yau manifolds
OH, Yong-Geun
Original · EN
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 fooo:anchor and some compactness theorem of smooth J-holomorphic sections of Lefschetz Hamiltonian fibration for a generic choice of J. The proof of the latter compactness theorem involves a study of proper pseudoholomorphic curves in the setting of noncompact symplectic manifolds with cylindrical ends.
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