Abstract
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 Jcompatible symplectic cones over a large class of almost complex manifolds, including all Kähler manifolds, almost Kähler 4-manifolds and complex surfaces.
Original language | English (US) |
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Pages (from-to) | 651-683 |
Number of pages | 33 |
Journal | Communications in Analysis and Geometry |
Volume | 17 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2009 |