Seidel's long exact sequence on Calabi-Yau manifolds
SCIE
SCOPUS
- Title
- Seidel's long exact sequence on Calabi-Yau manifolds
- Authors
- Oh, YG
- Date Issued
- 2011-09
- Publisher
- DUKE UNIV PRESS
- 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 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.
- Keywords
- LAGRANGIAN INTERSECTIONS; FLOER COHOMOLOGY; GEOMETRY; SUBMANIFOLDS; CONJECTURE; CURVES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/13729
- DOI
- 10.1215/21562261-1299936
- ISSN
- 2156-2261
- Article Type
- Article
- Citation
- KYOTO JOURNAL OF MATHEMATICS, vol. 51, no. 3, page. 687 - 765, 2011-09
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