-algebras, -categories and -functors

DOI10.1016/S1570-7954(07)05003-6zbMath1213.18005MaRDI QIDQ3053871

Oleksandr Manzyuk, Volodimir Lyubashenko

Publication date: 30 October 2010

Published in: Handbook of Algebra (Search for Journal in Brave)

zbMATH Keywords

\(A_\infty\)-algebrasdifferential coalgebras\(A_\infty\)-categories\(A_\infty\)-functors

Mathematics Subject Classification ID

Related Items (3)

How strict is strictification? ⋮ Segal spaces, spans, and semicategories ⋮ Quasi-hereditary algebras, exact Borel subalgebras, \(A_\infty\)-categories and boxes.

Cites Work

• Infinity-inner-products on \(A\)-infinity-algebras.
• A construction of quotient \(A_\infty\)-categories
• Topological conformal field theories and Calabi-Yau categories
• A\({}_{\infty}\)-algebras and the cyclic bar complex
• Category of \(A_\infty\)-categories
• DG quotients of DG categories.
• Addendum to: ``Introduction to \(A\)-infinity algebras and modules
• Abstract substitution in enriched categories
• \(A_\infty\)-structures on an elliptic curve
• ENHANCED TRIANGULATED CATEGORIES
• NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS
• ON THE HOMOLOGY THEORY OF FIBRE SPACES
• HOMOLOGY OF FIBRE SPACES
• $A_{\infty}$-structures, Brill–Noether loci and the Fourier–Mukai transform
• Mirror symmetry and noncommutative geometry of A∞-categories
• Homological mirror symmetry, deformation quantization and noncommutative geometry
• Homological Algebra of Mirror Symmetry
• Homotopy Associativity of H-Spaces. I
• Introduction to \(A\)-infinity algebras and modules
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