List questions from differential-topology

Published on 30 Apr 2026 - 9:11

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How does Thurston's geometrisation conjecture imply Poincaré's conjecture?

Published on 12 Apr 2026 - 3:51

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smoothness of hopf fibration projection with respect to standard differentiable structure on unit sphere

Published on 14 Apr 2026 - 7:27

200

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Show that we can define a connection on any manifold using partitions of unity

Published on 10 Apr 2026 - 20:25

844

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No Smooth Onto Map from Circle to Torus

Published on 12 Apr 2026 - 11:22

407

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Non-degenerate smooth functions on a manifold

Published on 13 Apr 2026 - 13:55

8.9k

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What exactly is a Kähler Manifold?

Published on 11 Apr 2026 - 19:10

150

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What is the name of the dual of vector fields?

Published on 15 Apr 2026 - 7:16

191

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Convert line integral between different metrics?

Published on 12 Apr 2026 - 5:57

1.2k

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Classification of all 28 Exotic 7-Spheres

Published on 17 Apr 2026 - 11:47

162

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Gluing two copies of $S^3 \times D^4$ along their boundary

Published on 14 Apr 2026 - 10:12

136

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Fundamental group of the following disc

Published on 16 Apr 2026 - 23:00

181

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set of immersions on a manifold is an open set in the set of all mappings to $\mathbb{R}^{2m+1}$

Published on 11 May 2026 - 10:19

85

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Lebesgue Measure with given function?

Published on 09 Apr 2026 - 2:54

144

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Show that $\Gamma(TM) \cong_{\mathbb{R}} \mathsf{Der}_{\mathbb{R}} C^{\infty}(M)$

Published on 16 Apr 2026 - 0:07

List Question

Orientation on finite dimensional vector spaces over finite fields.

How does Thurston's geometrisation conjecture imply Poincaré's conjecture?

smoothness of hopf fibration projection with respect to standard differentiable structure on unit sphere

Show that we can define a connection on any manifold using partitions of unity

No Smooth Onto Map from Circle to Torus

Non-degenerate smooth functions on a manifold

What exactly is a Kähler Manifold?

What is the name of the dual of vector fields?

Convert line integral between different metrics?

Classification of all 28 Exotic 7-Spheres

Gluing two copies of $S^3 \times D^4$ along their boundary

Fundamental group of the following disc

set of immersions on a manifold is an open set in the set of all mappings to $\mathbb{R}^{2m+1}$

Lebesgue Measure with given function?

Show that $\Gamma(TM) \cong_{\mathbb{R}} \mathsf{Der}_{\mathbb{R}} C^{\infty}(M)$

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