Cohomologies of harmonic bundles on quasi-compact Kaehler manifolds
Juergen Jost, Yi-Hu Yang, and Kang Zuo
TL;DR
This paper surveys recent research on the cohomological properties of harmonic bundles within the context of quasi-compact Kaehler manifolds, highlighting new insights into their mathematical structure.
Contribution
It provides a comprehensive overview of recent advances in understanding cohomologies of harmonic bundles on quasi-compact Kaehler manifolds.
Findings
New cohomological invariants identified
Connections between harmonic bundles and Kaehler geometry clarified
Potential applications to complex geometry explored
Abstract
In this note, we survey our recent work concerning cohomologies of harmonic bundles on quasi-compact Kaehler manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory