Cyclic harmonic bundles on noncompact surfaces

For a cyclic Higgs bundle over a noncompact Riemann surface, we study the space of Toda-like harmonic metrics depending on the asymptotic behavior of the deteminant of the Higgs field. We will attach the problem in both the Hitchin-Kobayashi method and the partial differential equation method. This is a joint work with Takuro Mochizuki.

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