Local solution to the G₂-monopole equation with prescribed tangent cone and G₂-structure

2016/03/03 by Wang, Yuanqi
#35 #53 #58 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1603.00986

Abstract

For any locally defined G₂-structure and Hermitian-Yang-Mills connection on S⁶, the G₂-monopole equation always admits a local solution that is asymptotic to the HYM-connection.

Related

• The asymptotic geometry of \rmG₂-monopoles
• Local wellposedness for the 2+1 dimensional monopole equation
• Monopole-Monopole solutions of Einstein-Yang-Mills-Higgs Theory
• Monopoles in arbitrary dimension
• Mapping Cone Connections and their Yang-Mills Functional