From $L_\infty$ algebroids to $L_\infty$ spaces: Part I

Alberto S. Cattaneo; Shuhan Jiang

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arXiv · 2606.24837

From $L_\infty$ algebroids to $L_\infty$ spaces: Part I

Alberto S. Cattaneo·Shuhan Jiang

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Abstract

The notion of $L_\infty$ spaces over dg manifolds is developed. An equivalence between the category of transitive $L_\infty$ algebroids and that of $L_\infty$ spaces is established, and this equivalence detects weak equivalences. Moreover, a faithful functor from $L_\infty$ algebroids to $L_\infty$ spaces is constructed, which also detects weak equivalences.

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BibTeX RIS

Alberto S. Cattaneo, Shuhan Jiang. 2026-06-23. From $L_\infty$ algebroids to $L_\infty$ spaces: Part I. https://arxiv.org/abs/2606.24837

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