English

Example of an unbounded diffeomorphism group

Differential Geometry 2011-04-05 v2

Abstract

It is shown that the compactly supported identity component of the diffeomorphism group of the 2-dimensional punctured torus Tp2\mathbb T^2_p is an unbounded group. It follows that the fragmentation norm of Tp2\mathbb T^2_p is unbounded.

Keywords

Cite

@article{arxiv.1103.3620,
  title  = {Example of an unbounded diffeomorphism group},
  author = {Tomasz Rybicki},
  journal= {arXiv preprint arXiv:1103.3620},
  year   = {2011}
}

Comments

This paper has been withdrawn by the author since Prop. 0.3 is false

R2 v1 2026-06-21T17:41:21.041Z