Group cohomology with Lipschitz control and higher signatures
From MaRDI portal
Publication:2366709
DOI10.1007/BF01895513zbMath0789.58069OpenAlexW2616852479WikidataQ101086173 ScholiaQ101086173MaRDI QIDQ2366709
Alain Connes, Henri Moscovici, Mikhael Gromov
Publication date: 31 August 1993
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/58109
Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Discrete subgroups of Lie groups (22E40) Kasparov theory ((KK)-theory) (19K35) Continuous cohomology of Lie groups (22E41)
Related Items
Coarse Baum-Connes conjecture, Baum-Connes conjecture and coarse geometry, The coarse geometric Novikov conjecture and uniform convexity, Filtrations of simplicial functors and the Novikov conjecture, A finite-dimensional approach to the strong Novikov conjecture, Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint., Asymptotic Lipschitz cohomology and higher signatures, K-theoretic duality for hyperbolic dynamical systems, Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities, On vanishing of low-degree higher \(\hat{A}\)-genera, Embedding Higson compactification into a product of adelic solenoids, Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension, Geometrization of the Strong Novikov Conjecture for residually finite groups, The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space, Higher invariants in noncommutative geometry, The strong Novikov conjecture for low degree cohomology, Twisted Donaldson invariants, Equivariant Novikov conjecture for groups acting on Euclidean buildings, Hopf algebroids and secondary characteristic classes, Elliptic operators and higher signatures., Taming 3-manifolds using scalar curvature, The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces, The class of a fibre in noncommutative geometry, The Novikov conjecture, Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, Higher localised \(\hat{A}\)-genera for proper actions and applications
Cites Work
- Cohomology of topological groups and solvmanifolds
- Equivariant KK-theory and the Novikov conjecture
- Groups acting on buildings, operator \(K\)-theory, and Novikov's conjecture
- Cyclic cohomology, the Novikov conjecture and hyperbolic groups
- The index of elliptic operators. I
- Fully Reducible Subgroups of Algebraic Groups