Lie algebroids and homological vector fields
From MaRDI portal
Publication:4232366
DOI10.1070/RM1997v052n02ABEH001802zbMath0955.58017OpenAlexW2081733730MaRDI QIDQ4232366
Publication date: 27 February 2001
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm1997v052n02abeh001802
Supermanifolds and graded manifolds (58A50) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)
Related Items (only showing first 100 items - show all)
A note on multi-oriented graph complexes and deformation quantization of Lie bialgebroids ⋮ Dissections and automorphisms of regular Courant algebroids ⋮ Hypersymplectic structures with torsion on Lie algebroids ⋮ Supersymmetrization: AKSZ and beyond? ⋮ Higher vector bundles and multi-graded symplectic manifolds ⋮ On higher dimensional exact Courant algebroids ⋮ The calculus of multivectors on noncommutative jet spaces ⋮ Lie algebroid structures on double vector bundles and representation theory of Lie algebroids ⋮ Normal forms of homological vector fields ⋮ Strongly homotopy Lie bialgebras and Lie quasi-bialgebras ⋮ A new cohomology theory for strict Lie 2-algebras ⋮ Homotopy equivalence of shifted cotangent bundles ⋮ Deformations and representations of Lie algebroids ⋮ L∞-actions of Lie algebroids ⋮ Poisson double structures ⋮ Modular class of Lie \(\infty\)-algebroids and adjoint representations ⋮ Reduction of Lagrangian mechanics on Lie algebroids ⋮ Modular classes revisited ⋮ Equivariant cohomology and localization for Lie algebroids ⋮ Canonical functions, differential graded symplectic pairs in supergeometry, and Alexandrov-Kontsevich-Schwartz-Zaboronsky sigma models with boundaries ⋮ From BFV to BV and spacetime covariance ⋮ Characteristic classes of gauge systems ⋮ BV and BFV for the H-twisted Poisson sigma model ⋮ Homological sections of Lie algebroids ⋮ Poisson geometry ⋮ All stable characteristic classes of homological vector fields ⋮ Poisson actions up to homotopy and their quantization ⋮ Graded contact manifolds and contact Courant algebroids ⋮ Shifted derived Poisson manifolds associated with Lie pairs ⋮ Lie groupoids and their natural transformations ⋮ Gauge PDE and AKSZ‐type Sigma Models ⋮ Graded Geometry, Q‐Manifolds, and Microformal Geometry ⋮ Noncommutative Poisson vertex algebras and Courant-Dorfman algebras ⋮ Foliated Lie and Courant algebroids ⋮ On Dirac structures admitting a variational approach ⋮ Pre-Courant algebroids ⋮ From \(L_{\infty }\)-algebroids to higher Schouten/Poisson structures ⋮ Poisson-Nijenhuis groupoids ⋮ Mathematical structures of cohomological field theories ⋮ Singular Lagrangians in supermechanics. ⋮ A construction of observables for AKSZ sigma models ⋮ Modules and representations up to homotopy of Lie \(n\)-algebroids ⋮ Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors Fields ⋮ The gauging of BV algebras ⋮ Connections adapted to non-negatively graded structures ⋮ On the relation of Lie algebroids to constrained systems and their BV/BFV formulation ⋮ The geometry of graded cotangent bundles ⋮ Graded geometry in gauge theories and beyond ⋮ Quillen superconnections and connections on supermanifolds ⋮ Hidden \(Q\)-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions ⋮ The existence of a canonical lifting of even Poisson structures to the algebra of densities ⋮ The deformation quantisation mapping of Poisson to associative structures in field theory ⋮ Representation up to homotopy of hom-Lie algebroids ⋮ Infinitesimal Automorphisms of VB-Groupoids and Algebroids ⋮ REDUCTION OF LIE ALGEBROID STRUCTURES ⋮ Topological field theories induced by twisted \(R \)-Poisson structure in any dimension ⋮ Weyl quantization of degree 2 symplectic graded manifolds ⋮ Higher spin gravities and presymplectic AKSZ models ⋮ Representation and central extension of hom-Lie algebroids ⋮ Deformations of Lie brackets: Cohomological aspects ⋮ Simultaneous deformations of a Lie algebroid and its Lie subalgebroid ⋮ Higher-order analogs of Lie algebroids via vector bundle comorphisms ⋮ Universal Cartan-Lie algebroid of an anchored bundle with connection and compatible geometries ⋮ \(Q\)-manifolds and Mackenzie theory ⋮ Characteristic classes of Q-manifolds: classification and applications ⋮ Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids ⋮ On homotopy Poisson actions and reduction of symplectic \(Q\)-manifolds ⋮ Noncommutative differential forms and quantization of the odd symplectic category ⋮ Derived brackets ⋮ The Atiyah class of a dg-vector bundle ⋮ Representations up to homotopy from weighted Lie algebroids ⋮ Jacobi structures in supergeometric formalism ⋮ Almost commutative \(Q\)-algebras and derived brackets ⋮ Linear duals of graded bundles and higher analogues of (Lie) algebroids ⋮ Hopf algebras arising from dg manifolds ⋮ Poincaré-Birkhoff-Witt isomorphisms and Kapranov dg-manifolds ⋮ Complete Lie algebroid actions and the integrability of Lie algebroids ⋮ On curvature and torsion in Courant algebroids ⋮ Lie algebroid modules and representations up to homotopy ⋮ Deformation spaces and normal forms around transversals ⋮ Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory ⋮ Integrability of quotients in Poisson and Dirac geometry ⋮ Algebroids, AKSZ constructions and doubled geometry ⋮ Cohomologies of a Lie algebra with a derivation and applications ⋮ Formality and Kontsevich-Duflo type theorems for Lie pairs ⋮ Non-Abelian Lie algebroids over jet spaces ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ Poisson quasi-Nijenhuis structures with background ⋮ Lie algebroids, gauge theories, and compatible geometrical structures ⋮ The deformation \(L_\infty\) algebra of a Dirac-Jacobi structure ⋮ On a non-Abelian Poincaré lemma ⋮ Homotopy momentum sections on multisymplectic manifolds ⋮ Momentum sections in Hamiltonian mechanics and sigma models ⋮ Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids ⋮ Hochschild cohomology of dg manifolds associated to integrable distributions ⋮ HYPERSTRUCTURES ON LIE ALGEBROIDS ⋮ Representation up to homotopy of double algebroids and their transgression classes ⋮ Representation up to Homotopy and Hom-Lie Algebroid Modules ⋮ Topological Dirac sigma models and the classical master equation ⋮ Cohomology and deformation theory for operad with higher derivation
This page was built for publication: Lie algebroids and homological vector fields