Abstract:We provide a general, homotopy-theoretic definition of string group models within an $$\infty $$
∞
-category of smooth spaces and present new smooth models for the string group. Here, a smooth space is a presheaf of $$\infty $$
∞
-groupoids on the category of cartesian spaces. The key to our definition and construction of smooth string group models is a version of the singular complex functor, which assigns to a smooth space an underlying ordinary spa… Show more
“…The theory of principal ∞-bundles in the context of (∞, 1)-categories was developed by [NSS15;NSS14]. For an overview on principal ∞-bundles, we redirect to the article [Bun23].…”
Section: Principal ∞-Bundles With Connectionsmentioning
“…The theory of principal ∞-bundles in the context of (∞, 1)-categories was developed by [NSS15;NSS14]. For an overview on principal ∞-bundles, we redirect to the article [Bun23].…”
Section: Principal ∞-Bundles With Connectionsmentioning
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