List questions from differential-topology

Published on 12 Apr 2026 - 9:44

166

Views

De Rham cohomology ring of flag bundles/manifolds in Bott and Tu

Published on 15 Apr 2026 - 3:27

1.1k

Views

Example of a disconnected manifold where the tangent space is not the dimension of the manifold?

Published on 14 Apr 2026 - 13:30

145

Views

Let $f : M\to N$ be a submersion with $M$ compact and $N$ connected. The $f$ is surjective.

Published on 14 Apr 2026 - 12:27

138

Views

What does $C^k$ at a single point mean?

Published on 10 Apr 2026 - 20:55

62

Views

Construct a lifting from the the total space of a fiber bundle to its spoace of 1-jets

Published on 13 Apr 2026 - 1:31

235

Views

Why do we need the $S \otimes L^{1/2}$ bundle product to determine a $Spin_c$ structure?

Published on 13 Apr 2026 - 0:04

76

Views

How to keep symplecticity of a diffeomorphism after a coordinate rescaling and Taylor series expansion?

Published on 29 Mar 2026 - 19:11

122

Views

Which constructions on vector bundles satisfy a universal property?

Published on 13 Apr 2026 - 8:33

608

Views

Computing relative de Rham cohomology?

Published on 16 Apr 2026 - 2:52

2.9k

Views

Example of a diffeomorphism from all of $\mathbb{R}$ to itself

Published on 15 Apr 2026 - 14:38

4.6k

Views

Can we recover a compact smooth manifold from its ring of smooth functions?

Published on 09 Apr 2026 - 6:31

94

Views

Computing the degree of a one-variable map

Published on 17 Apr 2026 - 8:56

406

Views

Does there exist a non-parallelisable manifold with exactly $k$ linearly independent vector fields?

Published on 04 Apr 2026 - 14:58

122

Views

Cobordism Groups an the Pontryagin-Thom Construction

Published on 31 Mar 2026 - 17:16

List Question

Two proof of Petersen's 'Manifold'

De Rham cohomology ring of flag bundles/manifolds in Bott and Tu

Example of a disconnected manifold where the tangent space is not the dimension of the manifold?

Let $f : M\to N$ be a submersion with $M$ compact and $N$ connected. The $f$ is surjective.

What does $C^k$ at a single point mean?

Construct a lifting from the the total space of a fiber bundle to its spoace of 1-jets

Why do we need the $S \otimes L^{1/2}$ bundle product to determine a $Spin_c$ structure?

How to keep symplecticity of a diffeomorphism after a coordinate rescaling and Taylor series expansion?

Which constructions on vector bundles satisfy a universal property?

Computing relative de Rham cohomology?

Example of a diffeomorphism from all of $\mathbb{R}$ to itself

Can we recover a compact smooth manifold from its ring of smooth functions?

Computing the degree of a one-variable map

Does there exist a non-parallelisable manifold with exactly $k$ linearly independent vector fields?

Cobordism Groups an the Pontryagin-Thom Construction

Trending Questions

Popular # Hahtags

Popular Questions