Nan-Kuo Ho

Connected components of the space of surface group representations

Let G be a connected, compact, semisimple Lie group. It is known that for a compact closed orientable surface

The real locus of an involution map on the moduli space of flat connections on a Riemann surface

\Sigma

On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces

of genus

A Lie-theoretic Description of the Solution Space of the tt*-Toda Equations

l >1

The \({\textit{SU}}(2)\)-character variety of the closed surface of genus 2

, the order of the group

Yang-Mills connections on nonorientable surfaces

H^2(\Sigma,\pi_1(G))

Yang-Mills connections on orientable and nonorientable surfaces

is equal to the number of connected components of the space

Orientability in Yang–Mills theory over nonorientable surfaces

Hom(\pi_1(\Sigma),G)/G

The Volume of the Moduli Space of Flat Connections on a Nonorientable 2-Manifold

which can also be identified with the moduli space of gauge equivalence classes of flat G-bundles over

Higgs bundles over a nonorientable surface

\Sigma