Derived Representation Schemes and Noncommutative Geometry

zbMath1333.16014arXiv1304.5314MaRDI QIDQ2939721

Giovanni Felder, Ajay C. Ramadoss, Yuri Yu. Berest

Publication date: 22 January 2015

Full work available at URL: https://arxiv.org/abs/1304.5314

zbMATH Keywords

noncommutative geometryapproximationsfinite-dimensional representationsderived functorsschemesrepresentation functorsrepresentation homology

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Nonabelian homological algebra (category-theoretic aspects) (18G50) Noncommutative geometry (à la Connes) (58B34) Symplectic structures of moduli spaces (53D30) Derived categories and associative algebras (16E35)

Related Items (11)

Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras ⋮ Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism ⋮ Calabi-Yau algebras and the shifted noncommutative symplectic structure ⋮ Multiplicative preprojective algebras are 2-Calabi-Yau ⋮ Symmetric homology and representation homology ⋮ Derived representation schemes and cyclic homology ⋮ Derived representation schemes and Nakajima quiver varieties ⋮ Hodge decomposition of string topology ⋮ Derived representation schemes and supersymmetric gauge theory ⋮ Protoperads II: Koszul duality ⋮ Large \(N\) phenomena and quantization of the Loday-Quillen-Tsygan theorem

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