Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Ah ok, I see. So the spinor bundles are essentially encoded by the odd part of the supermanifold's structure sheaf. Would you happen to know of a reference that talks about how to recover these bundles from the supermanifold structure or vice-versa? Thanks so much!
I see, I forgot that the entire exterior algebra was already part of the structure sheaf. But that being said, I'm still confused how I bring the spinor bundles on $X$ into the picture. Is there a way to define the structure sheaf for the worldsheet with a formula that includes the spinor bundle? Thanks!
