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Almost complex structures on connected sums of complex
projective spaces
Oliver Goertsches and Panagiotis Konstantis
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Vol. 4 (2019), No. 1, 139–149
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Abstract
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We show that the
-fold
connected sum
admits an almost complex structure if and only if
is
odd.
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Keywords
almost complex structures, stable almost complex structure,
$K\mkern-2mu$-theory, Chern classes, connected sum,
projective spaces
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Mathematical Subject Classification 2010
Primary: 19L64, 53C15, 57R20
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Milestones
Received: 14 December 2017
Revised: 22 August 2018
Accepted: 15 October 2018
Published: 24 March 2019
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