List questions from homology-cohomology

Published on 25 Mar 2026 - 9:28

237

Views

Submanifold generator and its Poincaré dual in a 5-dimensional real projective space

Published on 26 Mar 2026 - 1:16

427

Views

How are the homology groups of map space related to the "factors"?

Published on 31 Aug 2018 - 20:53

72

Views

Action of quadratic Casimir on cochain/cohomology spaces

Published on 24 Mar 2026 - 22:27

110

Views

What is the induced isomorphism of a handle decomposition $X_k=X_{k-1}\cup H^{\lambda_k}$, $X_0=D^m$ given by the long exact Mayer-Vietoris sequence?

Published on 02 Sep 2018 - 5:26

73

Views

Poincaré dual of $H^1(M,\mathbb{Z}_2)$ for a $\frac{\mathbb{CP}^2\times S^1}{\tau}$

Published on 25 Mar 2026 - 11:20

357

Views

de Rham cohomology of vector bundles: advantages of different definitions of compact vertical cohomology

Published on 26 Mar 2026 - 1:29

182

Views

How to show a morphism $f^•: A^•\to B^•$ of complexes induce the morphism of cohomology objects $H^i(A^•)\to H^i(B^•)$?

Published on 29 Mar 2026 - 12:11

213

Views

Motivation for cochains, cocycles and coboundaries

Published on 25 Mar 2026 - 20:32

82

Views

Poincaré dual of the trivial class $H^1(\mathbb{RP}^5,\mathbb{Z}_2)$

Published on 26 Mar 2026 - 1:25

66

Views

Proof in Lee's Introduction to Topological manifolds

Published on 30 Mar 2026 - 10:38

37

Views

Poincaré dual of the generators of $H^d(S^5/\mathbb{Z}_4,\mathbb{Z}_4)$

Published on 25 Mar 2026 - 11:20

64

Views

looking for flabby sheaf resolutions

Published on 27 Mar 2026 - 13:09

472

Views

The three definitions of Cech cohomology (simplical complex vs. presheaf vs. sheaf)

Published on 25 Mar 2026 - 6:05

549

Views

Metaplectic group is the unique double covering of symplectic group

Published on 25 Mar 2026 - 23:39

List Question

Submanifold generators that correspond to Stiefel Whitney class of $\mathbb{RP}^n$

Submanifold generator and its Poincaré dual in a 5-dimensional real projective space

How are the homology groups of map space related to the "factors"?

Action of quadratic Casimir on cochain/cohomology spaces

What is the induced isomorphism of a handle decomposition $X_k=X_{k-1}\cup H^{\lambda_k}$, $X_0=D^m$ given by the long exact Mayer-Vietoris sequence?

Poincaré dual of $H^1(M,\mathbb{Z}_2)$ for a $\frac{\mathbb{CP}^2\times S^1}{\tau}$

de Rham cohomology of vector bundles: advantages of different definitions of compact vertical cohomology

How to show a morphism $f^•: A^•\to B^•$ of complexes induce the morphism of cohomology objects $H^i(A^•)\to H^i(B^•)$?

Motivation for cochains, cocycles and coboundaries

Poincaré dual of the trivial class $H^1(\mathbb{RP}^5,\mathbb{Z}_2)$

Proof in Lee's Introduction to Topological manifolds

Poincaré dual of the generators of $H^d(S^5/\mathbb{Z}_4,\mathbb{Z}_4)$

looking for flabby sheaf resolutions

The three definitions of Cech cohomology (simplical complex vs. presheaf vs. sheaf)

Metaplectic group is the unique double covering of symplectic group

Trending Questions

Popular # Hahtags

Popular Questions