Cohomologies of harmonic bundles on quasi-compact Kaehler manifolds

2007/12/31 by Juergen Jost, Jost, Juergen, Yi-Hu Yang +3
Mathematics · #14F40 #55N33 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.DG #msc:14F40 #msc:55N33

paper · pdf · doi:10.48550/arxiv.0801.0194

Will appear in "Proceedings of ICCM, Hangzhou 2007 December 17-22"

openalex publication_date 2007/12/31 · arxiv created 2008/01/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we survey our recent work concerning cohomologies of harmonic bundles on quasi-compact Kaehler manifolds.

Citations

• The Self-Duality Equations on a Riemann Surface

Related

• Harmonic bundles on quasi-compact Kaehler manifolds
• Harmonic metrics on unipotent bundles over quasi-compact Kaehler manifolds
• Biharmonic Hermitian vector bundles over compact Kaehlar Einstein\n manifolds
• Hodge structures on cohomology algebras and geometry
• Cohomological aspects of non-Kähler manifolds