Cohomology of Kaehler manifolds with c₁=0

1995/02/14 by Simon Salamon, S. M. Salamon, Salamon, S. M.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9502005

arxiv created 1995/02/14 · openalex publication_date 1995/02/14 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A linear constraint is given on the Betti numbers of a compact hyper-Kaehler manifold, using an index formula for c₁c_n-1 on an almost complex manifold. The topology of some other manifolds with reduced holonomy is also discussed briefly.

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