New explicit almost complex structures show that closed anti-invariant 2-forms range from infinite-dimensional to zero-dimensional on R^4, and produce compact examples with maximal or arbitrarily large anti-invariant cohomology.
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On the Anti-Invariant Cohomology of Almost Complex Manifolds
New explicit almost complex structures show that closed anti-invariant 2-forms range from infinite-dimensional to zero-dimensional on R^4, and produce compact examples with maximal or arbitrarily large anti-invariant cohomology.