Lipschitz Cohomology, Novikov conjecture, and Expanders
| dc.creator | Dranishnikov, A. | |
| dc.date | 2002-05-15 | |
| dc.date | 2003-07-17 | |
| dc.date.accessioned | 2026-07-07T04:48:32Z | |
| dc.date.available | 2026-07-07T04:48:32Z | |
| dc.description | We present sufficient conditions for the cohomology of a closed aspherical manifold to be proper Lipschitz in sense of Connes-Gromov-Moscovici [CGM]. The conditions are stated in terms of the Stone-Čech compactification of the universal cover of a manifold. We show that these conditions are formally weaker than the sufficient conditions for the Novikov conjecture given in [CP]. Also we show that the Cayley graph of the fundamental group of a closed aspherical manifold with proper Lipschitz cohomology cannot contain an expander in the coarse sense. In particular, this rules out a Lipschitz cohomology approach to the Novikov Conjecture for recent Gromov's examples of exotic groups. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0205172 | |
| dc.identifier | http://arxiv.org/abs/math/0205172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64081 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 53C23, 57R22, 57S30, 20F65, 05C10 | |
| dc.title | Lipschitz Cohomology, Novikov conjecture, and Expanders | |
| dc.type | text |