Gradient flow of the norm squared of a moment map over Kahler manifolds
Inspired by Wilkin's work [23, 24] on Morse theory for the moduli space of Higgs bundles, we study the moduli space of gauged holomorphic maps by a heat flow approach in the spirit of Atiyah and Bott in a series of papers. In this paper, applying the method of Hong [9], we establish the global...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
26.02.2018
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Subjects | |
Online Access | Get full text |
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Summary: | Inspired by Wilkin's work [23, 24] on Morse theory for the moduli space of
Higgs bundles, we study the moduli space of gauged holomorphic maps by a heat
flow approach in the spirit of Atiyah and Bott in a series of papers. In this
paper, applying the method of Hong [9], we establish the global existence of
smooth solutions of the gradient ow equations of the vortex functional over a
compact K ahler manifold. |
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DOI: | 10.48550/arxiv.1802.09314 |