List questions from morse-theory

Published on 22 Mar 2026 - 15:52

597

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Understanding Morse's Lemma

Published on 22 Mar 2026 - 1:04

151

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A closed manifold has closed geodesics of at most countably many lengths

Published on 17 Mar 2026 - 10:43

411

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Codimension-1 submanifold as a inverse image of regular value.

Published on 17 Mar 2026 - 12:28

1.4k

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A Morse function on a compact manifold has finitely many critical points

Published on 24 Mar 2026 - 23:23

233

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Equivalence between function being Morse and $df$ being transversal to zero section.

Published on 17 Mar 2026 - 17:34

978

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Morse lemma via Moser's trick

Published on 22 Mar 2026 - 12:06

265

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The Euler characteristic of a manifold

Published on 22 Mar 2026 - 9:12

272

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How is a condition on symplectic triviality expressed in Chern classes?

Published on 17 Mar 2026 - 5:25

206

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Proving $\partial ^ 2 = 0 $ for the case of Morse-Complex with $\mathbb{Z}$ using orientation of the moduli space

Published on 17 Mar 2026 - 11:55

285

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If $f:S^1 \to \mathbb{R}$ is a Morse function then $f$ has an even number of critical points.

Published on 17 Mar 2026 - 12:29

151

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Computing derivative in second tangent bundle

Published on 25 Mar 2026 - 1:13

396

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(Negative) Gradient and Orientability of its flow.

Published on 22 Mar 2026 - 15:25

65

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critical points relevant to the lowest order non-perturbative correction

Published on 25 Mar 2026 - 1:23

146

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Morse–Palais Lemma and local approximation

Published on 25 Mar 2026 - 1:21

List Question

Morse index of minimal surfaces in $\mathbb{R}^3$

Understanding Morse's Lemma

A closed manifold has closed geodesics of at most countably many lengths

Codimension-1 submanifold as a inverse image of regular value.

A Morse function on a compact manifold has finitely many critical points

Equivalence between function being Morse and $df$ being transversal to zero section.

Morse lemma via Moser's trick

The Euler characteristic of a manifold

How is a condition on symplectic triviality expressed in Chern classes?

Proving $\partial ^ 2 = 0 $ for the case of Morse-Complex with $\mathbb{Z}$ using orientation of the moduli space

If $f:S^1 \to \mathbb{R}$ is a Morse function then $f$ has an even number of critical points.

Computing derivative in second tangent bundle

(Negative) Gradient and Orientability of its flow.

critical points relevant to the lowest order non-perturbative correction

Morse–Palais Lemma and local approximation

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