The limit of the Hermitian-Yang-Mills flow on reflexive sheaves

DOI10.1016/j.aim.2017.11.029zbMath1381.53046arXiv1704.07076OpenAlexW2964253428MaRDI QIDQ1688631

Jiayu Li, Xi Zhang, Chuanjing Zhang

Publication date: 11 January 2018

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

Full work available at URL: https://arxiv.org/abs/1704.07076

zbMATH Keywords

reflexive sheavescompact Kähler manifoldHarder-Narasimhan-Seshadri filtrationHermitian-Yang-Mills flow

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Generalized Donaldson functionals and related nonlinear partial differential equations ⋮ GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS ⋮ Hermitian-Einstein metrics for Higgs bundles over complete Hermitian manifolds ⋮ Flat Higgs bundles over non-compact affine Gauduchon manifolds ⋮ Canonical metrics on holomorphic filtrations over compact Hermitian manifolds ⋮ The limiting behaviour of the Hermitian-Yang-Mills flow over compact non-Kähler manifolds ⋮ A note on curvature estimate of the Hermitian-Yang-Mills flow ⋮ Canonical metrics on holomorphic bundles over compact bi-Hermitian manifolds ⋮ Higgs bundles over non-compact Gauduchon manifolds

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