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 and some compactness theorem of 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.
Citation
Yong-Geun Oh. "Seidel’s long exact sequence on Calabi-Yau manifolds." Kyoto J. Math. 51 (3) 687 - 765, Fall 2011. https://doi.org/10.1215/21562261-1299936
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