A family of cohomological complex projective spaces

2018/10/21 by Kalafat, Mustafa
#14M15 #55T10 #57R20 #57R22 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.09029

Abstract

We exhibit a family of complex manifolds, which has a member at each odd complex dimension and which has the same cohomology groups as the complex projective space at that dimension, but not homotopy equivalent to it. We also analyze the even dimensional analogue.

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