Curved Koszul duality theory
From MaRDI portal
Publication:695284
DOI10.1007/s00208-011-0766-9zbMath1276.18009arXiv1008.5368OpenAlexW2069770005MaRDI QIDQ695284
Joseph Hirsh, Joan Bellier-Millès
Publication date: 20 December 2012
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.5368
augmentationcurvatureoperadhomotopy theoryKoszul dualitycohomology theorybar-cobar constructionproperad
Related Items
Exact Hochschild extensions and deformed Calabi-Yau completions, Cylinders for non-symmetric DG-operads via homological perturbation theory, Strictly unital \(\mathrm{A}_{\infty}\)-algebras, \(D\)-structures and derived Koszul duality for unital operad algebras, Curved homotopy coalgebras, Differential graded Koszul duality: An introductory survey, The diagonal of the multiplihedra and the tensor product of \(\mathrm{A}_\infty\)-morphisms, Homotopy Batalin-Vilkovisky algebras, Unnamed Item, Symmetric homotopy theory for operads, Tree- versus graph-level quasilocal Poincaré duality on \(S^{1}\), Twisted supergravity and Koszul duality: a case study in \(\operatorname{AdS}_3\), Braces and Poisson additivity, Derived coisotropic structures. I: Affine case, Homotopy theory of unital algebras, Up-to-homotopy algebras with strict units, Curved Koszul duality of algebras over unital versions of binary operads, Categorical Koszul duality, Which homotopy algebras come from transfer?
Cites Work
- Homotopy Batalin-Vilkovisky algebras
- Homotopy unital \(A_\infty\)-algebras
- André-Quillen cohomology of algebras over an operad
- The bar derived category of a curved dg algebra
- Nonhomogeneous quadratic duality and curvature
- Koszul duality for operads
- Category of \(A_\infty\)-categories
- Homotopy invariant algebraic structures on topological spaces
- Modules over operads and functors
- The geometry of iterated loop spaces
- On the cohomology groups of an associative algebra
- IDEAL PERTURBATION LEMMA
- Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
- Deformation theory of representations of prop(erad)s II
- Manin products, Koszul duality, Loday algebras and Deligne conjecture
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
- Deformation theory of representations of prop(erad)s I
- TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
- Unital ${A}_\infty$-categories
- A Koszul duality for props
- Koszul Resolutions
- Homotopy Associativity of H-Spaces. I
- Algebraic Operads
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
