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- W3104885167 abstract "We prove a categorified version of the Poincar'e lemma. The natural setting for our result is that of $infty$-local systems. More precisely, we show that any smooth homotopy between maps $f$ and $g$ induces an $mathsf{A}_infty$-natural transformation between the corresponding pullback functors. This transformation is explicitly defined in terms of Chen's iterated integrals. In particular, we show that a homotopy equivalence induces a quasi-equivalence on the DG categories of $infty$-local system." @default.
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- W3104885167 date "2019-11-27" @default.
- W3104885167 modified "2023-09-26" @default.
- W3104885167 title "An A∞ version of the Poincaré lemma" @default.
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- W3104885167 doi "https://doi.org/10.2140/pjm.2019.302.385" @default.
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