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added the original references that discuss how a spin strucvture on a space is the quantum anomaly cancellation condition for the superparticle sigma-model to spin structure
Do zou have access to the file of Akira Asada's Four lectures on the geometry of loop group bundles and non-abelian de Rham theory...seemingly needed at string structure and also at Sati's bibliography. Here is a bib reference without a link. There is also a paper Akira Asada: Integrable forms on iterated loop spaces and higher dimensional non abelian de Rham theory, not in public domain though, link.
Yes, I have copies of Asada. Let me try to dig them out...
added the Asada-reference now to string structure
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