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- W4384644611 abstract "We prove that an 'etale fibration between $L_infty$-bundles has local sections made up of several elementary morphisms of particularly simple and accessible type. As applications, we prove an inverse function theorem for $L_infty$-bundles, and give an elementary proof that every weak equivalence of $L_infty$-bundles induces a quasi-isomorphism of the differential graded algebras of global functions. In addition, we apply this inverse function theorem to prove that the homotopy category of $L_infty$-bundles has a simple description in terms of homotopy classes of morphisms, when we restrict $L_infty$-bundles to their germs about their classical loci." @default.
- W4384644611 created "2023-07-19" @default.
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- W4384644611 date "2023-07-16" @default.
- W4384644611 modified "2023-10-18" @default.
- W4384644611 title "On the structure of 'etale fibrations of $L_infty$-bundles" @default.
- W4384644611 doi "https://doi.org/10.48550/arxiv.2307.08179" @default.
- W4384644611 hasPublicationYear "2023" @default.
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