The Novikov conjecture
From MaRDI portal
Publication:5220235
DOI10.1070/RM9882zbMath1439.19009arXiv1905.12427OpenAlexW3105591085WikidataQ123023067 ScholiaQ123023067MaRDI QIDQ5220235
No author found.
Publication date: 11 March 2020
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.12427
Geometric group theory (20F65) Topological methods in group theory (57M07) Characteristic classes and numbers in differential topology (57R20) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)
Related Items (1)
Cites Work
- Discrete groups with finite decomposition complexity
- The Borel conjecture for hyperbolic and CAT(0)-groups
- C*-algebras, positive scalar curvature, and the Novikov conjecture
- The Novikov conjecture and geometry of Banach spaces
- The integral \(K\)-theoretic Novikov conjecture for groups with finite asymptotic dimension
- Large scale geometry
- Finite decomposition complexity and the integral Novikov conjecture for higher algebraic \(K\)-theory
- On quantitative operator \(K\)-theory
- Groups generated by reflections and aspherical manifolds not covered by Euclidean space
- Finite part of operator \(K\)-theory for groups finitely embeddable into Hilbert space and the degree of nonrigidity of manifolds
- Constructing group actions on quasi-trees and applications to mapping class groups
- The strong Novikov conjecture for low degree cohomology
- Geometry of the mapping class groups. I: Boundary amenability
- Equivariant KK-theory and the Novikov conjecture
- The Novikov conjecture for groups with finite asymptotic dimension
- On Novikov's conjecture for non-positively curved manifolds. I
- Curvature, tangentiality, and controlled topology
- Rigidity for aspherical manifolds with \(\pi_1\subset GL_m(\mathbb{R})\)
- Squeezing and higher algebraic \(K\)-theory
- Random walk in random groups.
- The Novikov conjecture for low degree cohomology classes
- Groups acting properly on ``bolic spaces and the Novikov conjecture
- Bivariant \(K\)-theory and the Novikov conjecture
- On asymptotic dimension of groups
- The coarse Baum-Connes conjecture and groupoids
- A notion of geometric complexity and its application to topological rigidity
- Uniform embeddings of hyperbolic groups in Hilbert spaces
- Cyclic cohomology, the Novikov conjecture and hyperbolic groups
- Controlled algebra and the Novikov conjectures for \(K\)- and \(L\)-theory
- The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
- Group cohomology with Lipschitz control and higher signatures
- The Novikov conjecture for linear groups
- The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups
- $\ell {\textunderscore }p$ ($p>2$) does not coarsely embed into a Hilbert space
- A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
- A Topological Analogue of Mostow's Rigidity Theorem
- The integral Novikov conjectures for linear groups containing torsion elements
- Groups Not Acting on Manifolds
- Bounded rigidity of manifolds and asymptotic dimension growth
- DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
- INFINITE-DIMENSIONAL REPRESENTATIONS OF DISCRETE GROUPS, AND HIGHER SIGNATURES
- Uniform embeddings of bounded geometry spaces into reflexive Banach space
- Hyperbolic groups have finite asymptotic dimension
- Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds
- Coarse cohomology and index theory on complete Riemannian manifolds
- An etale approach to the Novikov conjecture
- On the K-theory of groups with finite asymptotic dimension
- The mapping class group from the viewpoint of measure equivalence theory
- ALGEBRAIC CONSTRUCTION AND PROPERTIES OF HERMITIAN ANALOGS OFK-THEORY OVER RINGS WITH INVOLUTION FROM THE VIEWPOINT OF HAMILTONIAN FORMALISM. APPLICATIONS TO DIFFERENTIAL TOPOLOGY AND THE THEORY OF CHARACTERISTIC CLASSES. I
- ALGEBRAIC CONSTRUCTION AND PROPERTIES OF HERMITIAN ANALOGS OF $ K$-THEORY OVER RINGS WITH INVOLUTION FROM THE VIEWPOINT OF HAMILTONIAN FORMALISM. APPLICATIONS TO DIFFERENTIAL TOPOLOGY AND THE THEORY OF CHARACTERISTIC CLASSES. II
- Metric cotype
- \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The Novikov conjecture