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Monotone Lagrangian Floer theory in smooth divisor complements: II
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In the first part of the present series of papers, we studied the moduli spaces of holomorphic discs and strips into an open symplectic manifold, isomorphic to the complement of a smooth divisor in a closed symplectic manifold. In particular, we introduced a compactification of this moduli space, which is called the RGW compactification. The goal of this paper is to show that the RGW compactifications admit Kuranishi structures. This result provides the crucial ingredient for the main construction of this series of papers: Floer homology for monotone Lagrangians in a smooth divisor complement.
Forward citations
Cited by 2 Pith papers
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On orderability and the chord conjecture
Arnol'd's chord conjecture is proved for weakly non-orderable contact manifolds satisfying a sharp Lagrangian displacement-energy bound, including many prequantization and Brieskorn manifolds.
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Reduced Gromov-Witten invariants without ghost bubble censorship
Defines all-genus reduced Gromov-Witten invariants of symplectic manifolds via effectively supported multivalued perturbations on derived orbifold/Kuranishi charts, bypassing ghost bubble censorship.
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