Abstract

In 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 constructed as a guotient. The inclusion of the moduli space of classical stablemaps into the moduli space of super stable maps allows then to construct super Gromov-Witteninvariants as integrals over the classical moduli spaces. based on joint work with Artan Sheshmaniand Shing-Tung Yau