On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature

DOI10.1007/BF01444705zbMath0771.53037MaRDI QIDQ1204147

Georg Schumacher, Matei Toma

Publication date: 3 March 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164947

zbMATH Keywords

curvature tensorPetersson-Weil metricHermite-Einstein vector bundlesKodaira-Spencer classes

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex-analytic moduli problems (32G13)

Related Items

Differential geometry of moduli spaces of quiver bundles, 𝐿²-metrics, projective flatness and families of polarized abelian varieties, The Weil-Petersson current for moduli of vector bundles and applications to orbifolds, Kähler geometry of Douady spaces, Weil-Petersson metrics on deformation spaces, Weil–Petersson forms for families of polystable bundles over compact Kähler manifolds, FAMILIES OF HOLOMORPHIC BUNDLES, Curvature formulas related to a family of stable Higgs bundles, Kähler structure on moduli spaces of principal bundles, Coupled vortex equations and moduli: Deformation theoretic approach and Kähler geometry, Numerical Weil-Petersson metrics on moduli spaces of Calabi-Yau manifolds

Cites Work

• On the moduli space of anti-self-dual Yang-Mills connections on Kähler surfaces
• Moduli of Hermite-Einstein vector bundles
• Moduli spaces of simple bundles and Hermitian-Einstein connections
• Geometry of anti-self-dual connections and Kuranishi map
• The moduli space of Hermite-Einstein bundles on a compact Kähler manifold
• The Yang-Mills equations over Riemann surfaces
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