Kuranishi chart categories satisfy a higher homotopical bundle-component cocycle condition automatically, replacing rigid conditions with flexible homotopy-theoretic compatibility.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 3verdicts
UNVERDICTED 3representative citing papers
Proposes a homotopy model for L∞[1]-morphisms generalizing A∞-homotopies and proves a filling condition for simplices with quasi-isomorphism vertices.
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.
citing papers explorer
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Kuranishi chart categories and higher cocycle conditions
Kuranishi chart categories satisfy a higher homotopical bundle-component cocycle condition automatically, replacing rigid conditions with flexible homotopy-theoretic compatibility.
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Homotopy models for $L_{\infty}[1]$-algebras in higher degrees
Proposes a homotopy model for L∞[1]-morphisms generalizing A∞-homotopies and proves a filling condition for simplices with quasi-isomorphism vertices.
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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.