AbstractIn this talk l want to show that the theory of moduli spaces of stable curves and stable maps hasan interesting supergeometric generalization. Using the component field formalism we will showhow the moduli space of super J-holomorhpic curves extends the moduli space of classical Jholomorphic curves. in genus zero the moduli spaces of super stable maps and super stablecurves can then be ...
AbstractIf C is a smooth projective complex curve, the nonabelian Hodge correspondence gives adiffeomorphism between the coarse moduli space of degree d rank r semistable Higgs bundles onC, and r-dimensional d-twisted representations of the fundamental group of the underlying Riemannsurface of C. lf r and d are not coprime, there are strictly semistables with nontrivial stabilizers, andit perha...