DOI10.1093/qjmath/50.200.417zbMath0968.58014arXivdg-ga/9610008OpenAlexW2062621534MaRDI QIDQ4935763
Jiang-Hua Lu, Sam Evens, Alan Weinstein
Publication date: 18 September 2001
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9610008
Homology and modular classes of Lie algebroids. ⋮
Poisson cohomology of the affine plane ⋮
Dissections and automorphisms of regular Courant algebroids ⋮
The modular class of a Dirac map ⋮
On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms ⋮
Twisted Poincaré duality for some quadratic Poisson algebras ⋮
A Lie–Rinehart Algebra with No Antipode ⋮
The Stokes groupoids ⋮
The volume of a differentiable stack ⋮
Glanon groupoids ⋮
Lie algebroid structures on double vector bundles and representation theory of Lie algebroids ⋮
The localization of 1-cohomology of transitive Lie algebroids ⋮
Modular classes of Poisson-Nijenhuis Lie algebroids ⋮
On localization in holomorphic equivariant cohomology ⋮
Modular class of Lie \(\infty\)-algebroids and adjoint representations ⋮
Nondegenerate cohomology pairing for transitive Lie algebroids, characterization ⋮
Modular classes revisited ⋮
Courant cohomology, Cartan calculus, connections, curvature, characteristic classes ⋮
Equivariant cohomology and localization for Lie algebroids ⋮
Homological sections of Lie algebroids ⋮
Measures on differentiable stacks ⋮
The Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroids ⋮
Intrinsic characteristic classes of a local Lie group ⋮
Modular classes of skew algebroid relations ⋮
GEOMETRIC QUANTIZATION OF HAMILTONIAN ACTIONS OF LIE ALGEBROIDS AND LIE GROUPOIDS ⋮
Hamiltonian Lie algebroids ⋮
Quantization of \((-1)\)-shifted derived Poisson manifolds ⋮
The modular class of a singular foliation ⋮
Codimension one symplectic foliations and regular Poisson structures ⋮
Representations of Homotopy Lie–Rinehart Algebras ⋮
Invariants of Lie algebroids ⋮
The quantization of the symplectic groupoid of the standard Podlès sphere ⋮
Superconformal structures on generalized Calabi-Yau metric manifolds ⋮
Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors Fields ⋮
The gauging of BV algebras ⋮
Riemannian geometry of Lie algebroids ⋮
Holonomy transformations for singular foliations ⋮
The modular class of a Poisson map ⋮
The localized longitudinal index theorem for Lie groupoids and the Van Est map ⋮
Modular classes of regular twisted Poisson structures on Lie algebroids ⋮
Formality theorem with coefficients in a module ⋮
Homotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoids ⋮
The classifying Lie algebroid of a geometric structure I: Classes of coframes ⋮
Weyl quantization of degree 2 symplectic graded manifolds ⋮
Chern–Simons forms for ℝ-linear connections on Lie algebroids ⋮
Unimodularity criteria for Poisson structures on foliated manifolds ⋮
Coadjoint orbits of Lie groupoids ⋮
Deformations of Lie brackets: Cohomological aspects ⋮
Modular classes of Loday algebroids ⋮
Morita invariance of intrinsic characteristic classes of Lie algebroids ⋮
Poisson geometry and deformation quantization near a strictly pseudoconvex boundary ⋮
Differential forms with values in VB-groupoids and its Morita invariance ⋮
Integrable hierarchies and the modular class ⋮
On the Heisenberg invariance and the elliptic Poisson tensors ⋮
Characteristic classes of Q-manifolds: classification and applications ⋮
Holonomy of Poisson manifolds and the modular class ⋮
Twisted Poincaré duality for Poisson homology and cohomology of affine Poisson algebras ⋮
Generalized Calabi-Yau manifolds and the chiral de Rham complex ⋮
Characteristic classes of Lie algebroid morphisms ⋮
Geometry of Maurer-Cartan elements on complex manifolds ⋮
Unimodularity and preservation of volumes in nonholonomic mechanics ⋮
A heterotic sigma model with novel target geometry ⋮
Nambu structures on Lie algebroids and their modular classes ⋮
The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids ⋮
Cohomology of skew-holomorphic Lie algebroids ⋮
Double Lie algebroids and representations up to homotopy ⋮
On Hom-Gerstenhaber algebras, and Hom-Lie algebroids ⋮
Courant algebroids ⋮
Poisson sigma model on the sphere ⋮
Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds ⋮
Integration of holomorphic Lie algebroids ⋮
Foliated groupoids and infinitesimal ideal systems ⋮
Lie algebroid modules and representations up to homotopy ⋮
The index of geometric operators on Lie groupoids ⋮
Deformation of hom-Lie-Rinehart algebras ⋮
Modular classes of Jacobi bundles ⋮
Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras ⋮
LIE ALGEBROIDS AS SPACES ⋮
Modular classes of Lie algebroid morphisms ⋮
Cohomology and deformations of Filippov algebroids ⋮
Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\) ⋮
Differential calculus over double Lie algebroids ⋮
Poisson manifolds of compact types (PMCT 1) ⋮
Quantization of emergent gravity ⋮
Relative modular classes of Lie algebroids ⋮
Lie algebroids, holonomy and characteristic classes ⋮
Poisson Homology of r-Matrix Type Orbits I: Example of Computation ⋮
Poisson cohomology in dimension two ⋮
THE MODULAR CLASS OF A LIE ALGEBROID COMORPHISM ⋮
Duality functors for quantum groupoids ⋮
Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson–Lie groups
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