Almost Complex Structures on (n-1)-connected 2n-manifolds

Details Almost Complex Structures on (n-1)-connected 2n-manifolds Almost Complex Structures on (n-1)-connected 2n-manifolds

2011-10-09

arxiv.org/abs/1110.1798v1

Mathematics

Algebraic Topology

12 pages

Scientific paper

Let M be a closed (n-1)-connected 2n-dimensional smooth manifold with n > 2.
In terms of the system of invariants for such manifolds introduced by Wall, we
obtain necessary and sufficient conditions for M to admit an almost complex
structure.

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