Shuhan Jiang

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20242026

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math.DG2026

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

Alberto S. Cattaneo, Shuhan Jiang

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…

math.DG2026

Homotopy theory for curved $L_{\infty}$ spaces

Shuhan Jiang

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…

From L∞​ algebroids to L∞​ spaces: Part I

Homotopy theory for curved L∞​ spaces

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

Homotopy theory for curved $L_{\infty}$ spaces