Invariance of the Goresky–Hingston algebra on reduced Hochschild homology

DOI10.1112/plms.12445arXiv1912.13267OpenAlexW2998693364MaRDI QIDQ6051517

Manuel Rivera, Zhengfang Wang

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13267

zbMATH Keywords

quasi-isomorphismsdifferential graded associative Frobenius algebrasGoresky-Higston algebraHochschild homogloy

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items

Product and coproduct in string topology, String topology in three flavors

Cites Work

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• On the Hochschild homology of open Frobenius algebras
• Hochschild homology of structured algebras
• Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators
• Loop products and closed geodesics
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Singular Hochschild cohomology via the singularity category
• A homotopy theoretic realization of string topology
• A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces
• Singular Hochschild cohomology and algebraic string operations
• Algebraic string operations
• Rabinowitz Floer homology and symplectic homology
• Gerstenhaber algebra and Deligne’s conjecture on the Tate–Hochschild cohomology
• On algebraic structures of the Hochschild complex