A blow-up formula for stationary quaternionic maps

DOI10.1090/proc/16476zbMath1530.53063arXiv2301.00180MaRDI QIDQ6095825

Chaona Zhu, Jiayu Li

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.00180

zbMATH Keywords

blow-up formulaquaternionic mapsstationary harmonic maps

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Cites Work

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• Complex anti-self-dual connections on a product of Calabi-Yau surfaces and triholomorphic curves
• Gradient estimates and blow-up analysis for stationary harmonic maps
• Energy quantization for triholomorphic maps
• Supersymmetric Yang-Mills, octonionic instantons and triholomorphic curves
• Quaternionic maps between hyper-Kähler manifolds.
• Compactness results for triholomorphic maps
• ALF gravitational instantons and collapsing Ricci-flat metrics on the \(\mathrm{K3}\) surface

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