Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds

DOI10.1016/j.aim.2015.04.009zbMath1317.58016arXiv1402.3808OpenAlexW2963016060MaRDI QIDQ2344277

Benjamin Sibley, Richard A. Wentworth

Publication date: 13 May 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3808

zbMATH Keywords

Hermitian vector bundlesKähler manifoldsYang-Mills flowHarder-Narasimhan-Seshadri filtrationBott-Chern formsunstable integrable connections.

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Singularities of holomorphic vector fields and foliations (32S65) Holomorphic bundles and generalizations (32L05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Integration on analytic sets and spaces, currents (32C30)

Related Items (11)

Uhlenbeck compactness for Yang-Mills flow in higher dimensions ⋮ \(J\)-equation on holomorphic vector bundles ⋮ A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families ⋮ Yang-Mills flow on special-holonomy manifolds ⋮ Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations ⋮ A note on curvature estimate of the Hermitian-Yang-Mills flow ⋮ A vector bundle version of the Monge-Ampère equation ⋮ Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones ⋮ Complex algebraic compactifications of the moduli space of Hermitian Yang-Mills connections on a projective manifold ⋮ Analytic tangent cones of admissible Hermitian Yang-Mills connections ⋮ Long-time existence for Yang-Mills flow

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