2 papers
math.DG2023
Cyclic Higgs bundles, subharmonic functions, and the Dirichlet problem
Natsuo Miyatake
We demonstrate the existence and uniqueness of the solution to the Dirichlet problem for a generalization of Hitchin's equation for diagonal harmonic metrics on cyclic Higgs bundle…
math.DG2023
Generalizations of Hermitian-Einstein equation of cyclic Higgs bundles, their heat equation, and inequality estimates
Natsuo Miyatake
We introduce some generalizations of the Hermitian-Einstein equation for diagonal harmonic metrics on cyclic Higgs bundles, including a generalization using subharmonic functions.…