Exact Gerstenhaber algebras and Lie bialgebroids
From MaRDI portal
Publication:1903561
DOI10.1007/BF00996111zbMath0837.17014OpenAlexW4230762982MaRDI QIDQ1903561
Publication date: 21 May 1996
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00996111
Lie algebroidsstring theoryPoisson manifoldsGerstenhaber algebrasLie bialgebroidsSchouten bracketsBatalin-Vilkovsky algebratriangular Lie bialgebroids
Lie algebras of vector fields and related (super) algebras (17B66) Applications of Lie (super)algebras to physics, etc. (17B81) Graded Lie (super)algebras (17B70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
Related Items (66)
A note on multi-oriented graph complexes and deformation quantization of Lie bialgebroids ⋮ Dissections and automorphisms of regular Courant algebroids ⋮ The BV formalism for \(L_\infty \)-algebras ⋮ Uniqueness of the momentum map ⋮ BIDIFFERENTIAL CALCULI, BICOMPLEX STRUCTURE AND ITS APPLICATION TO BIHAMILTONIAN SYSTEMS ⋮ Multiplicative Nambu structures on Lie groupoids ⋮ Quasi-Bigèbres de Lie et Algèbres Quasi-Batalin-Vilkovisky Différentielles ⋮ Glanon groupoids ⋮ Commutative quantum operator algebras ⋮ Jacobi structures on affine bundles ⋮ Equivalence relation on differential quasi-Batalin-Vilkovisky algebras ⋮ Poisson double structures ⋮ Exact Lie bialgebroids and Poisson groupoids ⋮ Reduction of pre-Hamiltonian actions ⋮ The Schouten-Nijenhuis bracket and interior products ⋮ Homological sections of Lie algebroids ⋮ Poisson geometry ⋮ Poisson quasi-Nijenhuis manifolds ⋮ Pre-Courant algebroids ⋮ Generalized geometry of Norden manifolds ⋮ Massey products for algebras over operads ⋮ Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids ⋮ Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology ⋮ A Short Survey on Lie Theory and Finsler Geometry ⋮ Jacobi groupoids and generalized Lie bialgebroids. ⋮ Nambu structures and associated bialgebroids ⋮ A characterization of strict Jacobi-Nijenhuis manifolds through the theory of Lie algebroids ⋮ Even symplectic supermanifolds and double field theory ⋮ From Poisson algebras to Gerstenhaber algebras ⋮ BV-GENERATORS AND LIE ALGEBROIDS ⋮ Exact quasi-Jacobi bialgebroids ⋮ \(Q\)-manifolds and Mackenzie theory ⋮ Generalized lie bialgebras ⋮ Dirac structures and dynamical \(r\)-matrices ⋮ Generating operators of the Krasil'shchik-Schouten bracket ⋮ Derived brackets ⋮ Quantum groupoids and dynamical categories. ⋮ On transitive Lie bialgebroids and Poisson groupoids ⋮ \(T\)-duality and exceptional generalized geometry through symmetries of dg-manifolds ⋮ Geometry of Maurer-Cartan elements on complex manifolds ⋮ The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids ⋮ Jacobi structures in supergeometric formalism ⋮ ON SYMPLECTIC DOUBLE GROUPOIDS AND THE DUALITY OF POISSON GROUPOIDS ⋮ Generalized Lie bialgebroids and Jacobi structures ⋮ On Hom-Gerstenhaber algebras, and Hom-Lie algebroids ⋮ Poisson sigma model on the sphere ⋮ Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory ⋮ Modular classes of Jacobi bundles ⋮ Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras ⋮ Ehresmann doubles and Drinfel'd doubles for Lie algebroids and Lie bialgebroids ⋮ Log smooth deformation theory via Gerstenhaber algebras ⋮ Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\) ⋮ On Lie bialgebroid crossed modules ⋮ The Lie bialgebroid of a Poisson-Nijenhuis manifold ⋮ Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves ⋮ Graded generalized geometry ⋮ Lie theory of multiplicative tensors ⋮ Z-Graded Extensions of Poisson Brackets ⋮ Reduction of Jacobi manifolds via Dirac structures theory ⋮ On characterization of Poisson and Jacobi structures ⋮ Triangular dynamical \(r\)-matrices and quantization ⋮ Drinfel’d doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids ⋮ Batalin-Vilkovisky algebra structures on (Co)Tor and Poisson bialgebroids. ⋮ Star calculus on Jacobi manifolds. ⋮ Duality functors for quantum groupoids ⋮ Generalized Lie bialgebras and Jacobi structures on Lie groups.
Cites Work
- Hamiltonian operators and the classical Yang-Baxter equation
- Batalin-Vilkovisky algebras and two-dimensional topological field theories
- Lectures on the geometry of Poisson manifolds
- Lie bialgebroids and Poisson groupoids
- New perspectives on the BRST-algebraic structure of string theory
- The cohomology structure of an associative ring
- ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
- Poisson cohomology and quantization.
- Calculus on Poisson Manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Exact Gerstenhaber algebras and Lie bialgebroids
