Rigidity and uniruling for Lagrangian submanifolds

DOI10.2140/gt.2009.13.2881zbMath1180.53078arXiv0808.2440OpenAlexW2005586071MaRDI QIDQ1035300

Publication date: 2 November 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2440

zbMATH Keywords

Lagrangian submanifold symplectic manifold quantum homology monotone Lagrangians mixed symplectic packing number point invertible uniruled of type $(p, q)$ and order $k$

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Lagrangian submanifolds; Maslov index (53D12)

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Cites Work