Volume 11, issue 4 (2011)

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

Algebraic & Geometric Topology 11 (2011) 2319–2368
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 2000
Primary: 53D05, 53D12
Secondary: 53D20, 53D40