Transverse measures, the modular class and a cohomology pairing for Lie algebroids

From MaRDI portal
Publication:4935763

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




Related Items (91)

Homology and modular classes of Lie algebroids.Poisson cohomology of the affine planeDissections and automorphisms of regular Courant algebroidsThe modular class of a Dirac mapOn a Batalin-Vilkovisky operator generating higher Koszul brackets on differential formsTwisted Poincaré duality for some quadratic Poisson algebrasA Lie–Rinehart Algebra with No AntipodeThe Stokes groupoidsThe volume of a differentiable stackGlanon groupoidsLie algebroid structures on double vector bundles and representation theory of Lie algebroidsThe localization of 1-cohomology of transitive Lie algebroidsModular classes of Poisson-Nijenhuis Lie algebroidsOn localization in holomorphic equivariant cohomologyModular class of Lie \(\infty\)-algebroids and adjoint representationsNondegenerate cohomology pairing for transitive Lie algebroids, characterizationModular classes revisitedCourant cohomology, Cartan calculus, connections, curvature, characteristic classesEquivariant cohomology and localization for Lie algebroidsHomological sections of Lie algebroidsMeasures on differentiable stacksThe Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroidsIntrinsic characteristic classes of a local Lie groupModular classes of skew algebroid relationsGEOMETRIC QUANTIZATION OF HAMILTONIAN ACTIONS OF LIE ALGEBROIDS AND LIE GROUPOIDSHamiltonian Lie algebroidsQuantization of \((-1)\)-shifted derived Poisson manifoldsThe modular class of a singular foliationCodimension one symplectic foliations and regular Poisson structuresRepresentations of Homotopy Lie–Rinehart AlgebrasInvariants of Lie algebroidsThe quantization of the symplectic groupoid of the standard Podlès sphereSuperconformal structures on generalized Calabi-Yau metric manifoldsModular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors FieldsThe gauging of BV algebrasRiemannian geometry of Lie algebroidsHolonomy transformations for singular foliationsThe modular class of a Poisson mapThe localized longitudinal index theorem for Lie groupoids and the Van Est mapModular classes of regular twisted Poisson structures on Lie algebroidsFormality theorem with coefficients in a moduleHomotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoidsThe classifying Lie algebroid of a geometric structure I: Classes of coframesWeyl quantization of degree 2 symplectic graded manifoldsChern–Simons forms for ℝ-linear connections on Lie algebroidsUnimodularity criteria for Poisson structures on foliated manifoldsCoadjoint orbits of Lie groupoidsDeformations of Lie brackets: Cohomological aspectsModular classes of Loday algebroidsMorita invariance of intrinsic characteristic classes of Lie algebroidsPoisson geometry and deformation quantization near a strictly pseudoconvex boundaryDifferential forms with values in VB-groupoids and its Morita invarianceIntegrable hierarchies and the modular classOn the Heisenberg invariance and the elliptic Poisson tensorsCharacteristic classes of Q-manifolds: classification and applicationsHolonomy of Poisson manifolds and the modular classTwisted Poincaré duality for Poisson homology and cohomology of affine Poisson algebrasGeneralized Calabi-Yau manifolds and the chiral de Rham complexCharacteristic classes of Lie algebroid morphismsGeometry of Maurer-Cartan elements on complex manifoldsUnimodularity and preservation of volumes in nonholonomic mechanicsA heterotic sigma model with novel target geometryNambu structures on Lie algebroids and their modular classesThe Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroidsCohomology of skew-holomorphic Lie algebroidsDouble Lie algebroids and representations up to homotopyOn Hom-Gerstenhaber algebras, and Hom-Lie algebroidsCourant algebroidsPoisson sigma model on the sphereZeroth Poisson homology, foliated cohomology and perfect Poisson manifoldsIntegration of holomorphic Lie algebroidsFoliated groupoids and infinitesimal ideal systemsLie algebroid modules and representations up to homotopyThe index of geometric operators on Lie groupoidsDeformation of hom-Lie-Rinehart algebrasModular classes of Jacobi bundlesLie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebrasLIE ALGEBROIDS AS SPACESModular classes of Lie algebroid morphismsCohomology and deformations of Filippov algebroidsPoisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\)Differential calculus over double Lie algebroidsPoisson manifolds of compact types (PMCT 1)Quantization of emergent gravityRelative modular classes of Lie algebroidsLie algebroids, holonomy and characteristic classesPoisson Homology of r-Matrix Type Orbits I: Example of ComputationPoisson cohomology in dimension twoTHE MODULAR CLASS OF A LIE ALGEBROID COMORPHISMDuality functors for quantum groupoidsUnimodularity and invariant volume forms for Hamiltonian dynamics on Poisson–Lie groups




This page was built for publication: Transverse measures, the modular class and a cohomology pairing for Lie algebroids