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We address the construction of smooth bundles of fermionic Fock spaces, aproblem that appears frequently in fermionic gauge theories. Our mainmotivation is the spinor bundle on the free loop space of a string manifold, astructure anticipated by Killingback, with a construction outlined byStolz-Teichner. We develop a general framework for constructing smooth Fockbundles, and obtain as an application a complete and well-founded constructionof spinor bundles on loop space.

Smooth Fock bundles, and spinor bundles on loop space