• Corpus ID: 237048159

Almost complex manifolds with total Betti number three

@inproceedings{Hu2021AlmostCM,
  title={Almost complex manifolds with total Betti number three},
  author={Jiahao Hu},
  year={2021}
}
We show the minimal total Betti number of a closed almost complex manifold of dimension 2n ≥ 8 is four, thus confirming a conjecture of Sullivan except for dimension 6. Along the way, we prove the only simply connected closed complex manifold having total Betti number three is the complex projective plane. 
1 Citations
Almost complex manifold with Betti number $b_i=0$ except $i=0, n/2, n$
. This paper studies existence of n = 4 k ( k > 1) dimensional simply-connected closed almost complex manifold with Betti number b i = 0 except i = 0 , n/ 2 , n . We characterize all the rational

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