Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds

Tian Jun Li, Weiyi Zhang

Research output: Contribution to journalArticlepeer-review

64 Scopus citations

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 languageEnglish (US)
Pages (from-to)651-683
Number of pages33
JournalCommunications in Analysis and Geometry
Volume17
Issue number4
DOIs
StatePublished - Oct 2009

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