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Results tagged with differential-topology
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user 86065
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
17
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Nice things that can be proved easily with characteristic classes
A bit of context for this question: as a project for my master's degree my supervisor asked me to understand the construction of Milnor's exotic spheres. After learning the heavy material (I knew very …
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1
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answer
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The holonomy map associated to a mapping torus
So I have a rather embarrassing problem, which is not really a "problem", so much as a mental block I seem to be unable to overcome. I am trying to understand the "holonomy map" of a mapping torus. To …
- 979
3
votes
2
answers
455
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Symplectic vector fields everywhere transverse to a co-dimension one hypersurface
Usually when speaking about vector fields transverse to a hypersurface in a symplectic manifold, we talk about Liouville vector fields, i.e. vector fields $X$ with the property that $\mathcal{L}_X\ome …
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