Almost complex structures on connected sums of complex projective spaces
Algebraic Topology
2019-04-10 v4 Differential Geometry
K-Theory and Homology
Abstract
We show that the m-fold connected sum admits an almost complex structure if and only if m is odd.
Cite
@article{arxiv.1710.05316,
title = {Almost complex structures on connected sums of complex projective spaces},
author = {Oliver Goertsches and Panagiotis Konstantis},
journal= {arXiv preprint arXiv:1710.05316},
year = {2019}
}
Comments
9 pages, changes according to referee's suggestions, added Lemma 2.1, to appear in Ann. K-theory