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A Wess–Zumino–Witten
type equation in the space of Kähler potentials in terms of
Hermitian–Yang–Mills metrics
Kuang-Ru Wu |
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Vol. 16 (2023), No. 2, 341–366
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Abstract |
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We prove that the solution of a Wess–Zumino–Witten type equation from a domain in to the space of Kähler potentials can be approximated uniformly by Hermitian–Yang–Mills metrics on certain vector bundles. The key is a new version of Berndtsson’s theorem on the positivity of direct image bundles. |
Keywords
Wess–Zumino–Witten, space of Kahler potentials,
Hermitian–Yang–Mills
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Mathematical Subject Classification 2010
Primary: 32Q15, 32U05, 53C55
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Milestones
Received: 3 February 2020
Revised: 14 May 2021
Accepted: 5 July 2021
Published: 3 May 2023
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Authors |
| Kuang-Ru Wu | |
| Institute of Mathematics, Academia
Sinica Taipei Taiwan |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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