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Rigidity and uniruling for Lagrangian submanifolds

Paul Biran and Octav Cornea
Geometry & Topology 13 (2009) 2881–2989
DOI: 10.2140/gt.2009.13.2881
Abstract

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.

Keywords
symplectic manifold, Lagrangian submanifold
Mathematical Subject Classification 2000
Primary: 53D12
Secondary: 53D05
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
Authors
Paul Biran
School of Mathematical Sciences
Tel-Aviv University
Ramat-Aviv
Tel-Aviv 69978
Israel
Octav Cornea
Department of Mathematics and Statistics
University of Montreal
C.P. 6128 Succ. Centre-Ville Montreal
QC H3C 3J7
Canada