Algebraic deformations arising from orbifolds with discrete torsion.

DOI10.1016/j.jpaa.2003.10.004zbMath1055.16010arXivmath/0210027OpenAlexW1974475127MaRDI QIDQ1420629

Anthony Giaquinto, Andrei Căldăraru, Sarah Witherspoon

Publication date: 2 February 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210027

zbMATH Keywords

crossed productsHochschild cohomologysingularitiesCalabi-Yau threefoldsorbifoldscyclic cohomologyKoszul complexesHodge numbersuniversal deformation formulaschiral numbersdeformations of associative rings and algebras

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Deformations of associative rings (16S80) Twisted and skew group rings, crossed products (16S35)

Related Items (14)

Universal Deformation Formulas ⋮ Cleft extensions of Koszul twisted Calabi-Yau algebras ⋮ On the computation of Hopf 2-cocycles with an example of diagonal type ⋮ Quantum group actions, twisting elements, and deformations of algebras. ⋮ Quantum groups and deformation quantization: Explicit approaches and implicit aspects ⋮ Finite groups acting linearly: Hochschild cohomology and the cup product. ⋮ Group actions on algebras and the graded Lie structure of Hochschild cohomology. ⋮ Hochschild cohomology and graded Hecke algebras ⋮ Twisted graded Hecke algebras. ⋮ Coactions on Hochschild homology of Hopf-Galois extensions and their coinvariants. ⋮ Bialgebra cohomology, pointed Hopf algebras, and deformations. ⋮ Homology of formal deformations of proper étale Lie groupoids ⋮ Hochschild (co-)homology of schemes with tilting object ⋮ Skew Derivations and Deformations of a Family of Group Crossed Products

Cites Work

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• Hochschild cohomology on Hopf Galois extensions
• The McKay correspondence as an equivalence of derived categories
• Infinite Crossed Products and Group-Graded Rings
• Homological Algebra of Mirror Symmetry
• Cyclic homology for schemes

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