Protoperads II: Koszul duality

DOI10.5802/jep.131zbMath1454.18016arXiv1901.05654OpenAlexW3036801661MaRDI QIDQ782144

Johan Leray

Publication date: 22 July 2020

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05654

zbMATH Keywords

Koszul dualityproperaddouble Poissonprotoperad

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Poisson algebras (17B63) Algebraic operads, cooperads, and Koszul duality (18M70)

Related Items (2)

Around Van den Bergh’s double brackets for different bimodule structures ⋮ Protoperads i: Combinatorics and definitions

Uses Software

• operads

Cites Work

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• The Frobenius properad is Koszul
• Homotopy Batalin-Vilkovisky algebras
• The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras
• Free monoid in monoidal abelian categories
• Gröbner bases for operads
• Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism
• Double Poisson cohomology of path algebras of quivers
• Homology and minimal model of Gerstenhaber algebras.
• A Poincaré-Birkhoff-Witt criterion for Koszul operads
• Derived Representation Schemes and Noncommutative Geometry
• Deformation theory of representations of prop(erad)s II
• Manin products, Koszul duality, Loday algebras and Deligne conjecture
• Double Poisson algebras
• Deformation theory of representations of prop(erad)s I
• Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
• A Koszul duality for props
• Algebraic Operads

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