Almost complex structures on connected sums of complex projective spaces

DOI10.2140/akt.2019.4.139zbMath1416.53027arXiv1710.05316OpenAlexW3100835668MaRDI QIDQ2633052

Panagiotis Konstantis, Oliver Goertsches

Publication date: 8 May 2019

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05316

zbMATH Keywords

Chern classesconnected sumK-theoryalmost complex structurescomplex projective spacesstable almost complex structure

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric applications of topological (K)-theory (19L64)

Related Items (4)

Almost complex structures on hyperbolic manifolds ⋮ Directed immersions for complex structures ⋮ Almost complex structures on connected sums of almost complex manifolds and complex projective spaces ⋮ Connected sums of almost complex manifolds, products of rational homology spheres, and the twisted \(\text{spin}^c\) Dirac operator

Cites Work

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• Exemples de variétés presque complexes. (Examples of almost complex manifolds)
• Almost complex structures on 8-manifolds
• \(K_ 0\)-groups of projective spaces
• \(K_ U\)-groups of Dold manifolds
• Obstructions to extending almost X-structures
• Characteristic Classes. (AM-76)
• A Note on Almost Complex and Weakly Complex Structures
• Complex Structures on Real Vector Bundles
• Almost Complex Structures on Complex Projective Spaces
• Immersions and Embeddings of Projective Spaces

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