A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces
DOI10.4171/JNCG/470WikidataQ114021468 ScholiaQ114021468MaRDI QIDQ2080306
Publication date: 7 October 2022
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10534
coproductloop spacesFrobenius algebrasstring topologyGoresky-Hingston coproductHochschild chains and cochains
Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Algebraic topology on manifolds and differential topology (57R19) Loop space machines and operads in algebraic topology (55P48) String topology (55P50)
Related Items (2)
Cites Work
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- Cyclic \(A_\infty\) structures and Deligne's conjecture
- Comprehensive factorisation systems
- Decorated Feynman categories
- On the Hochschild homology of open Frobenius algebras
- Modular envelopes, OSFT and nonsymmetric (non-\(\Sigma\)) modular operads
- On spineless cacti, Deligne's conjecture and Connes-Kreimer's Hopf algebra
- Closed/open string diagrammatics
- Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators
- Associahedra, cyclohedra and a topological solution to the \(A_{\infty }\) Deligne conjecture
- Open/Closed string topology and moduli space actions via open/closed Hochschild actions
- A proof of a cyclic version of Deligne's conjecture via cacti
- Umkehr maps
- Noncommutative aspects of open/closed strings via foliations
- Loop products and closed geodesics
- Cyclic homology and equivariant homology
- Arc operads and arc algebras
- The quantum Euler class and the quantum cohomology of the Grassmannians
- A homotopy theoretic realization of string topology
- Three Hopf algebras from number theory, physics \& topology, and their common background. I: Operadic \& simplicial aspects
- The cohomology structure of an associative ring
- Singular Hochschild cohomology and algebraic string operations
- Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras
- Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads
- On several varieties of cacti and their relations
- Cotensor products of modules
- The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations
- Double Poisson algebras
- Graphs, Strings, and Actions
- String Topology: Background and Present State
- Dimension vs. genus: A surface realization of the little k-cubes and an E∞operad
- Feynman categories and representation theory
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