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Families of monotone symplectic manifolds constructed via symplectic cut and their Lagrangian submanifolds

Agnes Gadbled

Algebraic & Geometric Topology 11 (2011) 2319–2368

DOI: 10.2140/agt.2011.11.2319
Abstract

We describe families of monotone symplectic manifolds constructed via the symplectic cutting procedure of Lerman [Math. Res. Lett. 2 (1995) 247–258] from the cotangent bundle of manifolds endowed with a free circle action. We also give obstructions to the monotone Lagrangian embedding of some compact manifolds in these symplectic manifolds.

Keywords

monotone symplectic manifold, monotone Lagrangian submanifold, symplectic cut, Floer homology, Maslov index
Mathematical Subject Classification

Primary: 53D05, 53D12

Secondary: 53D20, 53D40
References
Publication

Received: 5 March 2010
Accepted: 29 January 2011
Published: 5 September 2011
Authors
Agnes Gadbled
Department of Pure Mathematics and Mathematical Statistics
University of Cambridge
Wilberforce Road
Cambridge
CB3 0WB
UK
http://www.dpmms.cam.ac.uk/~ag663/