List questions from homology-cohomology

93

Views

Examples of connected closed oriented even-dimensional manifolds with all central even degree cohomology groups are zero.

Published on 30 Mar 2026 - 13:39

2.7k

Views

First homology group of a double torus (genus 2 surface) – intuition

Published on 29 Mar 2026 - 12:05

65

Views

Difference of two Topologies on Simplicial Complex

Published on 25 Mar 2026 - 17:36

119

Views

Deriving Kunneth formula for Cellular Homology

Published on 25 Mar 2026 - 11:10

813

Views

Relative Homology of $2$-genus Torus with a separating circle and a non-separating circle

Published on 01 Apr 2019 - 12:21

23

Views

Relation between the homological groups of a set and the ones of its boundary (for pseudo-manifolds)

Published on 30 Mar 2026 - 15:18

264

Views

Poincare dual simplicial structure of complexes homotopy equivalent to manifolds

Published on 23 Feb 2026 - 1:07

33

Views

Limited Curl in Vector Fields

Published on 25 Mar 2026 - 23:35

139

Views

Jet bundle cohomology

Published on 25 Mar 2026 - 19:01

308

Views

Notation for inverse of pull back

Published on 30 Mar 2026 - 8:29

87

Views

Is it possible to show that $H^1(M_g)=\mathbb{R}^{2g}$ using that $H^1(X)\cong \hom(\pi_1(X),\mathbb{R})$?

Published on 04 Apr 2019 - 20:32

210

Views

induced map in homology on a fiber bundle

Published on 25 Mar 2026 - 7:43

76

Views

Divisors and higher cohomologies

Published on 26 Mar 2026 - 21:07

590

Views

Homology group on the complex projective space

Published on 26 Mar 2026 - 17:30

425

Views

de Rham cohomology and connected components

Published on 26 Mar 2026 - 9:48

List Question

Examples of connected closed oriented even-dimensional manifolds with all central even degree cohomology groups are zero.

First homology group of a double torus (genus 2 surface) – intuition

Difference of two Topologies on Simplicial Complex

Deriving Kunneth formula for Cellular Homology

Relative Homology of $2$-genus Torus with a separating circle and a non-separating circle

Relation between the homological groups of a set and the ones of its boundary (for pseudo-manifolds)

Poincare dual simplicial structure of complexes homotopy equivalent to manifolds

Limited Curl in Vector Fields

Jet bundle cohomology

Notation for inverse of pull back

Is it possible to show that $H^1(M_g)=\mathbb{R}^{2g}$ using that $H^1(X)\cong \hom(\pi_1(X),\mathbb{R})$?

induced map in homology on a fiber bundle

Divisors and higher cohomologies

Homology group on the complex projective space

de Rham cohomology and connected components

Trending Questions

Popular # Hahtags

Popular Questions