Almost complex structures on connected sums of complex projective spaces
classification
🧮 math.AT
math.DGmath.KT
keywords
complexalmostconnectedmathbbadmitsm-foldonlyprojective
read the original abstract
We show that the m-fold connected sum $m\#\mathbb{C}\mathbb{P}^{2n}$ admits an almost complex structure if and only if m is odd.
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