Mathematics > Differential Geometry
arXiv:2606.24837 (math)
[Submitted on 23 Jun 2026]
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.
Submission history
From: Shuhan Jiang [view email]
[v1]
Tue, 23 Jun 2026 17:17:17 UTC (38 KB)
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