scientific article; zbMATH DE number 1784832
From MaRDI portal
Publication:4546493
zbMath1018.57013arXivmath/0102167MaRDI QIDQ4546493
Publication date: 8 September 2002
Full work available at URL: https://arxiv.org/abs/math/0102167
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
index formulacyclic cohomologyhypoelliptic operatortransverse geometrycyclic bicomplexHopf algebraic structure
(K)-theory and homology; cyclic homology and cohomology (19D55) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Elliptic genera (58J26) Chain complexes (category-theoretic aspects), dg categories (18G35) Other homology theories in algebraic topology (55N35) Algebraic topology on manifolds and differential topology (57R19)
Related Items
Geometric construction of Hopf cyclic characteristic classes ⋮ Hopf cyclic cohomology and Hodge theory for proper actions on complex manifolds ⋮ Index map, \(\sigma\)-connections, and Connes-Chern character in the setting of twisted spectral triples ⋮ Transverse noncommutative geometry of foliations ⋮ Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients ⋮ The endomorphism ring theorem for Galois and depth two extensions. ⋮ Excision in Hopf cyclic homology. ⋮ Hopf cyclic cohomology and Hodge theory for proper actions ⋮ A characteristic map for compact quantum groups ⋮ Characteristic classes of foliations via SAYD-twisted cocycles ⋮ Bialgebroid actions on depth two extensions and duality. ⋮ A categorical approach to cyclic duality. ⋮ Larson-Sweedler theorem and the role of grouplike elements in weak Hopf algebras. ⋮ The localized longitudinal index theorem for Lie groupoids and the Van Est map ⋮ Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ (Co)cyclic (co)homology of bialgebroids: An approach via (co)monads ⋮ Hopf cyclic cohomology and transverse characteristic classes. ⋮ Rankin-Cohen deformations and representation theory ⋮ Para-Hopf algebroids and their cyclic cohomology ⋮ The holonomy groupoids of singularly foliated bundles ⋮ The cyclic theory of Hopf algebroids. ⋮ Hopf-cyclic cohomology of quantum enveloping algebras ⋮ Topological Hopf algebras and their Hopf-cyclic cohomology ⋮ A characteristic map for the holonomy groupoid of a foliation