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The Yang-Mills flow and the Atiyah-Bott formula on compact Kähler manifolds

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Publication:2804437
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DOI10.1353/ajm.2016.0011zbMath1346.53028arXiv1109.1550OpenAlexW1765874103MaRDI QIDQ2804437

Adam Jacob

Publication date: 29 April 2016

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1550


zbMATH Keywords

compact Kähler manifoldYang-Mills flowHarder-Narasimhan-Seshadri filtration


Mathematics Subject Classification ID

Kähler manifolds (32Q15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Holomorphic fiber spaces (32L99)


Related Items (7)

The limit of the Hermitian-Yang-Mills flow on reflexive sheaves ⋮ Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations ⋮ A note on curvature estimate of the Hermitian-Yang-Mills flow ⋮ In memory of Professor Chen Jiangong (Chen Kien Kwong) on the 120th anniversary of his birth ⋮ Progress on asymptotic behavior of the Yang-Mills-Higgs flow ⋮ The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics ⋮ Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds






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