Harder-Narasimhan filtration for complex bundles or torsion free sheaves.

DOI10.5802/aif.1952zbMath1114.32010OpenAlexW47210039MaRDI QIDQ1395347

Laurent Bruasse

Publication date: 26 June 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_2_541_0

zbMATH Keywords

stabilitydeformationalmost complex structuresheavesHarder-Narasimhan filtration

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Holomorphic bundles and generalizations (32L05)

Related Items (5)

Semi-stable Higgs sheaves and Bogomolov type inequality ⋮ Optimal destabilizing vectors in some gauge theoretical moduli problems ⋮ The limit of the Hermitian-Yang-Mills flow on reflexive sheaves ⋮ Stability problems and non-Kähler surfaces ⋮ Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry.

Cites Work

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• La 1-forme de torsion d'une variété hermitienne compacte
• The theorem of Grauert-Mülich-Spindler
• On the cohomology groups of moduli spaces of vector bundles on curves
• Stability of complex vector bundles
• A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
• On the existence of hermitian-yang-mills connections in stable vector bundles
• HARDER–NARASIMHAN FILTRATION ON NON KÄHLER MANIFOLDS

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