Isolated singularities of Toda equations and cyclic Higgs bundles

Abstract

This paper is the second part of our study on the Toda equations and the cyclic Higgs bundles associated to $r$-differentials over non-compact Riemann surfaces. We classify all the solutions up to boundedness around the isolated singularity of an $r$-differential under the assumption that the $r$-differential is meromorphic or has some type of essential singularity. As a result, for example, we classify all the solutions on $\mathbb{C}$ if the $r$-differential is a finite sum of the exponential of polynomials.

The style file has been changed

References in corpus (2)

• G2 geometry and integrable systems
• Complete solutions of Toda equations and cyclic Higgs bundles over non-compact surfaces

Cited by in corpus (1)

• Complete solutions of Toda equations and cyclic Higgs bundles over non-compact surfaces