List questions from homology-cohomology

Published on 10 May 2026 - 19:35

942

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Existence of injective resolutions

Published on 14 May 2026 - 15:03

1.7k

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Does the category of sheaves have enough injectives?

Published on 11 May 2026 - 0:53

736

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Künneth formula and Leray spectral sequence

Published on 10 May 2026 - 12:52

52

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Rational cohomology of section spaces of one point compactification of tangent bundles over closed manifolds.

Published on 11 May 2026 - 1:54

59

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Are there formulas to get the (co)homology of a group $G$ from a presentation of $G$?

Published on 14 May 2026 - 16:21

91

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Compatibility of orientation classes

Published on 10 May 2026 - 20:04

257

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Maps between cohomology groups of based loop spaces

Published on 13 May 2026 - 6:34

726

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Example of two spaces indisinguishable by their homology modules (with $\mathbb{Z}$ coefficients) but with different cohomology rings

Published on 09 Apr 2026 - 6:49

62

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Proof verification of Simplicial homology of $M_g$

Published on 11 May 2026 - 4:22

411

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Vanishing of Chern characters in degree below codimension of support

Published on 11 May 2026 - 8:01

175

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Bockstein homomorphim and obstruction of spin-c structure

Published on 10 May 2026 - 16:56

841

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What are the Betti numbers of a double pinched torus?

Published on 10 May 2026 - 17:10

348

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Show that the rational cohomology ring $H^*(M;\mathbb{Q})$ needs at least two generators

Published on 15 Apr 2026 - 3:59

139

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How to determine the homology groups of $\{(v,w)\in\mathbb{C}^2\mid vw \neq 0\}$

Published on 16 Apr 2026 - 18:20

List Question

Galois cohomology inflation map

Existence of injective resolutions

Does the category of sheaves have enough injectives?

Künneth formula and Leray spectral sequence

Rational cohomology of section spaces of one point compactification of tangent bundles over closed manifolds.

Are there formulas to get the (co)homology of a group $G$ from a presentation of $G$?

Compatibility of orientation classes

Maps between cohomology groups of based loop spaces

Example of two spaces indisinguishable by their homology modules (with $\mathbb{Z}$ coefficients) but with different cohomology rings

Proof verification of Simplicial homology of $M_g$

Vanishing of Chern characters in degree below codimension of support

Bockstein homomorphim and obstruction of spin-c structure

What are the Betti numbers of a double pinched torus?

Show that the rational cohomology ring $H^*(M;\mathbb{Q})$ needs at least two generators

How to determine the homology groups of $\{(v,w)\in\mathbb{C}^2\mid vw \neq 0\}$

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