The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups
From MaRDI portal
Publication:4417261
DOI10.1090/S0002-9939-03-06905-3zbMath1050.19004arXivmath/0201091OpenAlexW2120191445WikidataQ122931842 ScholiaQ122931842MaRDI QIDQ4417261
James F. Davis, Kimberly Pearson
Publication date: 28 July 2003
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0201091
Connective (K)-theory, cobordism (19L41) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Topological (K)-theory (55N15) Geometric applications of topological (K)-theory (19L64)
Related Items
The topological K-theory of certain crystallographic groups, Positive scalar curvature of totally nonspin manifolds, On the equivariant \(K\)- and \(KO\)-homology of some special linear groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(C^ *\)-algebras, positive scalar curvature, and the Novikov conjecture. III
- On the structure of manifolds with positive scalar curvature
- Transformation groups and representation theory
- The classification of simply connected manifolds of positive scalar curvature
- Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
- A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture
- The eta invariant and the Gromov-Lawson conjecture for elementary Abelian groups of odd order
- The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology
- Identifying assembly maps in \(K\)- and \(L\)-theory
- The \(p\)-chain spectral sequence
- Symmetric \(K\)-theory spectra of \(C^*\)-categories
- Harmonic spinors
- Simply connected manifolds of positive scalar curvature
- Banach algebras and Bott periodicity
- On non-Euclidean crystallographic groups
- Positive scalar curvature and periodic fundamental groups
- Systems of Fixed Point Sets
- Beware the Phony Multiplication on Quillen's a -1 a
- A ``stable version of the Gromov-Lawson conjecture
- The lower algebraic K-theory of Fuchsian groups