Hochschild cohomology of a Sullivan algebra

DOI10.1007/S00009-016-0713-9zbMath1360.55011OpenAlexW2330659950MaRDI QIDQ346836

Jean Baptiste Gatsinzi

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0713-9

zbMATH Keywords

Hochschild cohomologyloop space homologyGerstenhaber algebraSullivan algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Rational homotopy theory (55P62) Loop spaces (55P35) Algebraic topology on manifolds and differential topology (57R19) String topology (55P50)

Related Items (7)

BV structure on the Hochschild cohomology of Sullivan algebras ⋮ On rational loop homology of some fibrations ⋮ Hochschild cohomology of Sullivan algebras and mapping spaces ⋮ Unnamed Item ⋮ Making Sullivan algebras minimal through chain contractions ⋮ On the Hochschild cohomology of a map between commutative differential graded algebras ⋮ Hochschild cohomology of certain Koszul Sullivan Extensions

Cites Work

• Gerstenhaber duality in Hochschild cohomology
• Rational string topology
• Cyclic homology and equivariant homology
• The homology theory of the closed geodesic problem
• Infinitesimal computations in topology
• The Hochschild cohomology of a closed manifold
• The cohomology structure of an associative ring
• Lectures on minimal models
• Rational BV-algebra in string topology
• String Topology in Dimensions Two and Three
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