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Results tagged with dg.differential-geometry
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user 85531
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
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 …
- 28.2k
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 …
- 19.6k
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, …
- 43.2k