Example of an unbounded diffeomorphism group

Details Example of an unbounded diffeomorphism group Example of an unbounded diffeomorphism group

2011-03-18

arxiv.org/abs/1103.3620v2

Mathematics

Differential Geometry

This paper has been withdrawn by the author since Prop. 0.3 is false

Scientific paper

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

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