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Results tagged with at.algebraic-topology
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user 85531
Homotopy theory, homological algebra, algebraic treatments of manifolds.
5
votes
1
answer
173
views
The principal bundle of embeddings
In a paper of P. Michor, it was shown that Emb(M,N) is a smooth principal diff(M)-bundle, M and N are smooth locally compact manifolds provided dim M < dim N. My question is why there is a restriction …
- 111
4
votes
1
answer
309
views
The fibration map $Diff(M) \rightarrow Emb(N,M)$
Let $M$ be a non-compact manifold, equipped with a (closed?) submanifold $N\subset M$. The action of $Diff(M)$ on the set of embeddings $N\hookrightarrow M$ induces a map
$$
Diff(M) \rightarrow Emb(N, …
- 111
0
votes
1
answer
362
views
Proper actions and diffeomorphism groups
Since the diffeomorphism group is not locally compact; is it true that there is no proper action of an infinite-dimensional diffeomorphism group on a finite-dimensional smooth manifold?
Edit: The gr …
- 111
2
votes
1
answer
540
views
About the homotopy type of diffeomorphism groups
In this paper by Antonelli, Burghelea and Kahn (Topology, 1972), a homomorphism $L :\pi_i(\operatorname{Diff}(S^n, D_+^{n})) \rightarrow \Gamma^{n+i+1}$ was used as a tool to detect non-triviality of …
- 111