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Results tagged with loop-spaces
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user 5010
The loop space $Ω_X$ of a pointed topological space $X$ is the space of based maps from the circle $\mathbb S^1$ to $X$ with the compact-open topology.
6
votes
central extensions of Diff(S^1) and of the semigroup of annuli
There's a more geometrically natural description of a $\mathbb{Z}$-central extension in both cases.
For $\operatorname{Diff}(S^1)$, the central extension are diffeomorphisms $f: \mathbb{R} \to \mathb …
- 10.1k
4
votes
central extensions of Diff(S^1) and of the semigroup of annuli
Let me give a method for answering the problem. I haven't yet done the relevant integral to get an actual answer.
In the setting you originally laid out for $\mathcal{A}$, actual diffeomorphisms are …
- 10.1k