Actions of groups of diffeomorphisms on one-manifolds
Geometric Topology
2013-09-17 v2
Abstract
Denote by the identity component of the group of compactly supported diffeomorphisms of a connected manifold , and by the group of the homeomorphisms of . We show that if is a closed manifold which fibers over (), then any homomorphism from to is trivial.
Keywords
Cite
@article{arxiv.1309.0618,
title = {Actions of groups of diffeomorphisms on one-manifolds},
author = {Shigenori Matsumoto},
journal= {arXiv preprint arXiv:1309.0618},
year = {2013}
}
Comments
This paper is withdrawn because there is a fatal error in the proof of the main theorem