The Batalin-Vilkovisky algebra on Hochschild cohomology induced by infinity inner products.
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Publication:999684
DOI10.5802/aif.2417zbMath1218.16004arXivmath/0210150OpenAlexW2527785895MaRDI QIDQ999684
Publication date: 10 February 2009
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210150
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Rational homotopy theory (55P62) Differential graded algebras and applications (associative algebraic aspects) (16E45)
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Cites Work
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Batalin-Vilkovisky algebra structure on the Hochschild cohomology of truncated polynomials
- The intrinsic bracket on the deformation complex of an associative algebra
- Infinity-inner-products on \(A\)-infinity-algebras.
- Topological conformal field theories and Calabi-Yau categories
- String topology for spheres
- Non-commutative differential geometry
- Cyclic homology and equivariant homology
- Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
- A homotopy theoretic realization of string topology
- The cohomology structure of an associative ring
- Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan
- Algebraic string operations
- On the cyclic Deligne conjecture.
- Free Loop Spaces of Finite Complexes Have Infinite Category
- Homotopy Associativity of H-Spaces. I
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