Example of an unbounded diffeomorphism group
classification
🧮 math.DG
keywords
groupunboundeddiffeomorphismmathbbcompactlycomponentdimensionalexample
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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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