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

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

2010-01-13

arxiv.org/abs/1001.2325v1

Mathematics

Symplectic Geometry

46 pages

Scientific paper

We describe families of monotone symplectic manifolds constructed via the
symplectic cutting procedure of Lerman 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.

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