Compactness of harmonic maps of surfaces with regular nodes

DOI10.1007/s10455-023-09926-9arXiv2012.14040OpenAlexW4387019517MaRDI QIDQ6056543

Woongbae Park

Publication date: 2 October 2023

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.14040

zbMATH Keywords

compactnessharmonic mapsbubbleDeligne-Mumford moduli spaceregular node

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Families, moduli of curves (analytic) (14H15) Riemann surfaces (30Fxx)

Cites Work

• Unnamed Item
• Bubble tree convergence for harmonic maps
• Harmonic maps from degenerating Riemann surfaces
• A construction of the Deligne-Mumford orbifold
• The existence of minimal immersions of 2-spheres
• Compactification of moduli space of harmonic mappings
• Energy identity of harmonic map flows from surfaces at finite singular time
• The refined analysis on the convergence behavior of harmonic map sequence from cylinders
• Geometry of Algebraic Curves
• Another Report on Harmonic Maps
• A Report on Harmonic Maps

This page was built for publication: Compactness of harmonic maps of surfaces with regular nodes