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- W4288265103 abstract "We study the space of closed anti-invariant forms on an almost complex manifold, possibly non compact. We construct families of (non integrable) almost complex structures on $R^4$, such that the space of closed $J$-anti-invariant forms is infinite dimensional, and also $0$- or $1$-dimensional. In the compact case, we construct $6$-dimensional almost complex manifolds with arbitrary large anti-invariant cohomology and a $2$-parameter family of almost complex structures on the Kodaira-Thurston manifold whose anti-invariant cohomology group has maximum dimension." @default.
- W4288265103 created "2022-07-28" @default.
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- W4288265103 date "2019-08-08" @default.
- W4288265103 modified "2023-10-04" @default.
- W4288265103 title "On the Anti-Invariant Cohomology of Almost Complex Manifolds" @default.
- W4288265103 doi "https://doi.org/10.48550/arxiv.1908.03016" @default.
- W4288265103 hasPublicationYear "2019" @default.
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