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arxiv: 2606.23965 · v1 · pith:64QSWMMJnew · submitted 2026-06-22 · 🧮 math.DG · math.AT

Homotopy theory for curved L_infty spaces

classification 🧮 math.DG math.AT
keywords inftycategoryfibrantformmanifoldobjectsspacesalgebroids
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This paper proves that $L_\infty$ spaces over a dg manifold form a category of fibrant objects. Together with the first main result of the companion paper [CJ26], this implies that transitive $L_\infty$ algebroids over a dg manifold also form a category of fibrant objects.

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