Supermoduli

Supergeometry is an extension of geometry to dimensions with anti-commuting coordinates as was motivated by supersymmetry in high-energy physics. Super Riemann surfaces are generalizations of Riemann surfaces with spin structure and have one complex commuting dimension and one anti-commuting dimension. Many aspects of super Riemann surfaces have been investigated and found to mirror and extend classical results on Riemann surfaces in an interesting way.

In this talk, I want to give an overview on super Riemann surfaces and the resulting moduli spaces of stable super curves and stable super maps.