List questions from differential-topology

Published on 09 Apr 2026 - 8:32

236

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Explicit Dehn twist for $S^n\times S^n$

Published on 16 Apr 2026 - 18:19

67

Views

Area of a domain with Stokes' Theorem

Published on 15 Apr 2026 - 13:23

113

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Let $\gamma_1, \gamma_2 : I \to M$ two homotopic curves, $M$ a $C^{\infty}$ manifold. If $\omega$ is a closed $1-$form then:

Published on 17 Apr 2026 - 11:03

450

Views

Why every map $f : S^n \to T^n (n>1)$ has topological degree zero?

Published on 16 Apr 2026 - 5:59

603

Views

Are convex combinations of projection operators still projection operators?

Published on 12 Apr 2026 - 5:28

402

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How to build smooth variations along arbitrary paths at the endpoint?

Published on 09 Apr 2026 - 6:10

328

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How to prove that the Lefschetz number is invariante under homotopy?

Published on 28 Mar 2026 - 3:58

342

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Is true that a closed $k-$form on $T^n$, the torus, is exact if, and only if, the integral of $\omega$ over every compact submanifold is zero?

Published on 14 Apr 2026 - 4:03

436

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Reference request for Thom's Transversality Theorem.

Published on 26 Apr 2026 - 10:38

515

Views

curl-free vector field on 3-torus

Published on 12 Apr 2026 - 3:52

1.1k

Views

Milnor's definition of smooth manifold

Published on 16 Apr 2026 - 21:51

423

Views

Normal sections

Published on 13 Apr 2026 - 23:52

634

Views

Existence of closed level sets on a surface for some field

Published on 04 Apr 2026 - 7:34

1k

Views

Why doesn't this argument show the Möbius bundle is trivial?

Published on 16 Apr 2026 - 10:12

List Question

Integration on manifolds with boundary

Explicit Dehn twist for $S^n\times S^n$

Area of a domain with Stokes' Theorem

Let $\gamma_1, \gamma_2 : I \to M$ two homotopic curves, $M$ a $C^{\infty}$ manifold. If $\omega$ is a closed $1-$form then:

Why every map $f : S^n \to T^n (n>1)$ has topological degree zero?

Are convex combinations of projection operators still projection operators?

How to build smooth variations along arbitrary paths at the endpoint?

How to prove that the Lefschetz number is invariante under homotopy?

Is true that a closed $k-$form on $T^n$, the torus, is exact if, and only if, the integral of $\omega$ over every compact submanifold is zero?

Reference request for Thom's Transversality Theorem.

curl-free vector field on 3-torus

Milnor's definition of smooth manifold

Normal sections

Existence of closed level sets on a surface for some field

Why doesn't this argument show the Möbius bundle is trivial?

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