Cyclicity in homotopy algebras and rational homotopy theory

DOI10.1515/gmj-2018-0058zbMath1446.55010OpenAlexW2898861463MaRDI QIDQ1755870

Hiroshige Kajiura

Publication date: 11 January 2019

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2018-0058

zbMATH Keywords

rational homotopy theoryPoincaré dualityhomotopy algebras

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Massey products (55S30) Homotopical algebra, Quillen model categories, derivators (18N40)

Cites Work

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• Potentials of homotopy cyclic \(A_\infty\)-algebras
• Small models for chain algebras
• Perturbation theory in differential homological algebra. II
• Cohomology theories for homotopy algebras and noncommutative geometry
• Abstract Hodge decomposition and minimal models for cyclic algebras
• A\({}_{\infty}\)-algebras and the cyclic bar complex
• Transferring homotopy commutative algebraic structures
• The Lie algebra structure of tangent cohomology and deformation theory
• Rational Poincaré duality spaces
• Differential homological algebra and homogeneous spaces
• Infinitesimal computations in topology
• Formal and coformal spaces
• Obstructions to homotopy equivalences
• DGA algebras as a Quillen model category relations to shm maps
• Introduction to sh Lie algebras for physicists
• A cohomology theory for \(A(m)\)-algebras and applications
• The set of rational homotopy types with given cohomology algebra
• Algebraic aspects of Chen's twisting cochain
• Deformation quantization of Poisson manifolds
• \(A_\infty\)-structures on an elliptic curve
• On \(A_{\infty }\)-enhancements for triangulated categories
• Rational homotopy theory
• NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS
• Open-closed homotopy algebra in mathematical physics
• Symplectic $C_\infty$-algebras
• Poincaré duality and commutative differential graded algebras
• Cohomology C_∞-algebra and rational homotopy type
• ON THE HOMOLOGY THEORY OF FIBRE SPACES
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Strongly homotopy lie algebras
• Homotopy Associativity of H-Spaces. I
• Algebraic Operads
• Rational homotopy theory and differential forms

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