English

Actions of groups of diffeomorphisms on one-manifolds

Geometric Topology 2013-09-17 v2

Abstract

Denote by \DC(M)0\DC(M)_0 the identity component of the group of compactly supported CC^\infty diffeomorphisms of a connected CC^\infty manifold MM, and by \HR\HR the group of the homeomorphisms of R\R. We show that if MM is a closed manifold which fibers over SmS^m (m2m\geq 2), then any homomorphism from \DC(M)0\DC(M)_0 to \HR\HR 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This paper is withdrawn because there is a fatal error in the proof of the main theorem