Comparing Tamed and Compatible Symplectic Cones and Cohomological Properties of Almost Complex Manifolds
نویسندگان
چکیده
We introduce certain homology and cohomology subgroups for any almost complex structure and study their pureness, fullness and duality properties. Motivated by a question of Donaldson, we use these groups to relate J−tamed symplectic cones and J−compatible symplectic cones over a large class of almost complex manifolds, including all Kähler manifolds, almost Kähler 4−manifolds and complex surfaces.
منابع مشابه
Notes on Symplectic Geometry
1. Week 1 1 1.1. The cotangent bundle 1 1.2. Geodesic flow as Hamiltonian flow 4 2. Week 2 7 2.1. Darboux’s theorem 7 3. Week 3 10 3.1. Submanifolds of symplectic manifolds 10 3.2. Contact manifolds 12 4. Week 4 15 4.1. Symplectic linear group and linear complex structures 15 4.2. Symplectic vector bundles 18 5. Week 5 21 5.1. Almost complex manifolds 21 5.2. Kähler manifolds 24 6. Week 6 26 6....
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تاریخ انتشار 2009