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arXiv · 2606.23965

Homotopy theory for curved $L_\infty$ spaces

Shuhan Jiang
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Abstract

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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Shuhan Jiang. 2026-06-22. Homotopy theory for curved $L_\infty$ spaces. https://arxiv.org/abs/2606.23965

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