Edward Witten placed some notes on the arXiv on 11th September entitled “Notes On Supermanifolds and Integration” [1]. In the notes he outlines the the theory of supermanifolds and integration on them. His motivation is to present what is needed for the RNS formalism in string theory.
Edward Witten
As ever Witten has produced very readable and concise notes without over complicating things. I recommend that anyone interested in how to integrate objects on supermanifolds start here.
References
[1] Edward Witten. Notes On Supermanifolds and Integration. arXiv:1209.2199 [hep-th]