Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras
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Publication:2073903
DOI10.4171/JNCG/425zbMath1494.53101arXiv1701.06112MaRDI QIDQ2073903
Xiaojun Chen, Farkhod Eshmatov, Youming Chen, Song Yang
Publication date: 8 February 2022
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.06112
Deformation quantization, star products (53D55) Duality in algebraic topology (55M05) Algebraic operads, cooperads, and Koszul duality (18M70)
Related Items (3)
Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry ⋮ Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras ⋮ Frobenius Poisson algebras
Cites Work
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- Formality of cyclic cochains
- Twisted Poincaré duality between Poisson homology and Poisson cohomology
- Noncommutative del Pezzo surfaces and Calabi-Yau algebras
- Compatibility with cap-products in Tsygan's formality and homological Duflo isomorphism
- Formality theorems for Hochschild complexes and their applications
- Deformations of associative algebras with inner products.
- Relative formality theorem and quantisation of coisotropic submanifolds
- Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras.
- Koszul duality in deformation quantization and Tamarkin's approach to Kontsevich formality
- Van den Bergh duality and Batalin-Vilkoviskiĭ structure on Calabi-Yau algebras.
- The Batalin-Vilkovisky algebra on Hochschild cohomology induced by infinity inner products.
- The Van den Bergh duality and the modular symmetry of a Poisson variety
- Cyclic homology and equivariant homology
- Cyclic homology of enveloping algebras
- Les variétés de Poisson et leurs algèbres de Lie associees
- Gerstenhaber algebras and BV-algebras in Poisson geometry
- Batalin-Vilkovisky algebras and two-dimensional topological field theories
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- The modular automorphism group of a Poisson manifold
- A proof of the Tsygan formality conjecture for chains.
- Deformation quantization with traces
- Calabi-Yau deformations and negative cyclic homology
- Deformation quantization of Poisson manifolds
- Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras
- Quantum deformations of projective three-space
- Twisted Poincaré duality for some quadratic Poisson algebras
- The cohomology structure of an associative ring
- On (co)homology of Frobenius Poisson algebras
- Bimodules and branes in deformation quantization
- Formality of Cyclic Chains
- Poisson cohomology and quantization.
- A relation between Hochschild homology and cohomology for Gorenstein rings
- Twisted Poincaré duality for Poisson homology and cohomology of affine Poisson algebras
- Batalin-Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi-Yau algebras
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