Almost Complex Structures on Homotopy Complex Projective Spaces

We show that all homotopy $\mathbb{C}P^n$s, smooth closed manifolds with the oriented homotopy type of $\mathbb{C}P^n$, admit almost complex structures for $3 \leq n \leq 6$, and classify these structures by their Chern classes. Our methods provide a new proof of a result of Libgober and Wood on the...

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1. Verfasser:	Mills, Keith
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Topology Mathematics - Geometric Topology
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