Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.
Rational homotopy -- Sullivan models
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abstract
This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model of a free loop space and use it to prove the Vigu\'e-Poirrier-Sullivan theorem on the Betti numbers of a free loop space.
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Flux Quantization of Type IIA in Unstable K-Theory
Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.