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Rigidity and uniruling
for Lagrangian submanifolds
Paul Biran and Octav Cornea |
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Geometry & Topology 13 (2009) 2881–2989
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Abstract |
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This paper explores the topology of monotone Lagrangian submanifolds inside a symplectic manifold by exploiting the relationships between the quantum homology of and various quantum structures associated to the Lagrangian . |
Keywords
symplectic manifold, Lagrangian submanifold
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Mathematical Subject Classification 2000
Primary: 53D12
Secondary: 53D05
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References |
Publication
Received: 5 November 2008
Revised: 22 July 2009
Accepted: 4 June 2009
Published: 18 September 2009
Proposed: Leonid Polterovich
Seconded: Yasha Eliashberg, Danny Calegari
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Authors |
| Paul Biran | |
| School of Mathematical
Sciences Tel-Aviv University Ramat-Aviv Tel-Aviv 69978 Israel |
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| Octav Cornea | |
| Department of Mathematics and
Statistics University of Montreal C.P. 6128 Succ. Centre-Ville Montreal QC H3C 3J7 Canada |
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