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

Gadbled, Agnes¹

¹Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, UK

Algebraic and Geometric Topology, Tome 11 (2011) no. 4, pp. 2319-2368

Résumé

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.

Détail

DOI : 10.2140/agt.2011.11.2319

Keywords: monotone symplectic manifold, monotone Lagrangian submanifold, symplectic cut, Floer homology, Maslov index

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