List questions from morse-theory

Published on 14 Mar 2023 - 12:53

141

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Can a real-valued function on the sphere have exactly 2 critical points which are not antipodal?

Published on 15 Mar 2023 - 12:01

275

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Placement of critical points of Morse function on the sphere

Published on 16 Mar 2023 - 15:50

24

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Is there any version of (discrete) Morse Theory for subcomplexs?

Published on 18 Mar 2023 - 12:16

65

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Orbit Space of Moduli Space in Morse Homology

Published on 24 Mar 2026 - 12:49

69

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What is the image of the Homology group of the boundary of a space under the map induced by inclusion?

Published on 25 Apr 2023 - 11:03

79

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Examples of degenerate (Floer) Hamiltonian orbits?

Published on 22 May 2023 - 9:46

79

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Handle body $H_g$ of genus $g$ as a CW complex

Published on 28 May 2023 - 23:40

35

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Induced orientation given a short exact sequence (in Morse homology over $\mathbb{Z}$)

Published on 01 Jun 2023 - 16:45

58

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Why is $M_{f\geq 0}$ a manifold with boundary?

Published on 19 Mar 2026 - 15:23

32

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Nice Morse chart with respect to a Riemannian metric

Published on 26 Jul 2023 - 1:50

33

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Exercise about Palais-Smale condition

Published on 28 Jul 2023 - 12:51

63

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What is the finite Morse index solution?

Published on 29 Aug 2023 - 4:58

39

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Handles have the form $D^λ×D^{m−λ}$

Published on 25 Mar 2026 - 17:38

44

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Role of basins of attraction in the Morse decomposition

Published on 11 Sep 2023 - 18:17

List Question

Real analytic periodic function $f$ such that $\nabla f(x)=0 \Rightarrow \nabla^2f(x)=0$.

Can a real-valued function on the sphere have exactly 2 critical points which are not antipodal?

Placement of critical points of Morse function on the sphere

Is there any version of (discrete) Morse Theory for subcomplexs?

Orbit Space of Moduli Space in Morse Homology

What is the image of the Homology group of the boundary of a space under the map induced by inclusion?

Examples of degenerate (Floer) Hamiltonian orbits?

Handle body $H_g$ of genus $g$ as a CW complex

Induced orientation given a short exact sequence (in Morse homology over $\mathbb{Z}$)

Why is $M_{f\geq 0}$ a manifold with boundary?

Nice Morse chart with respect to a Riemannian metric

Exercise about Palais-Smale condition

What is the finite Morse index solution?

Handles have the form $D^λ×D^{m−λ}$

Role of basins of attraction in the Morse decomposition

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