Rigidity and uniruling for Lagrangian submanifolds

Mathematics – Symplectic Geometry

Scientific paper

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In part, a shortened and revised version of "Quantum Structures for Lagrangian Submanifolds" (arXiv:0708.4221). Contains also

Scientific paper

This paper explores the topology of monotone Lagrangian submanifolds $L$
inside a symplectic manifold $M$ by exploiting the relationships between the
quantum homology of $M$ and various quantum structures associated to the
Lagrangian $L$.

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