Develops L∞ spaces over dg manifolds and establishes an equivalence of categories with transitive L∞ algebroids (plus a faithful functor) both detecting weak equivalences.
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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Defines L∞-Kuranishi spaces via L∞[1]-algebras on Kuranishi charts and proves they form a category embedding smooth manifolds, by modifying conditions from prior work.
Proves L_∞ spaces over dg manifolds form a category of fibrant objects, implying the same for transitive L_∞ algebroids via companion paper.
citing papers explorer
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From $L_\infty$ algebroids to $L_\infty$ spaces: Part I
Develops L∞ spaces over dg manifolds and establishes an equivalence of categories with transitive L∞ algebroids (plus a faithful functor) both detecting weak equivalences.
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Categorical structures of Kuranishi spaces with $L_{\infty}[1]$-algebras
Defines L∞-Kuranishi spaces via L∞[1]-algebras on Kuranishi charts and proves they form a category embedding smooth manifolds, by modifying conditions from prior work.
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Homotopy theory for curved $L_\infty$ spaces
Proves L_∞ spaces over dg manifolds form a category of fibrant objects, implying the same for transitive L_∞ algebroids via companion paper.