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Generalized Hitchin-Kobayashi correspondence and Weil-Petersson current

Hassan Jolany

math.DGarXiv:2608.15206

Abstract

In this paper we extend Hitchin-Kobayashi correspondence along holomorphic fibre space and we show that there exists a generalized Hermitian-Einstein metric which is twisted with Weil-Petersson current.In fact we generalise Song-Tian program for vector bundles

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