Question

Generators of the first homology group of a hyperelliptic curve.

score 230 · Answer 1 · 2026-03-25 11:16:33

230

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Generators of the first homology group of a hyperelliptic curve.

Published on 25 Mar 2026 - 11:16

score 202 · Answer 2 · 2026-03-25 19:01:30

202

Views

Relation between the $2^n$-Bockstein homomorphisms

Published on 25 Mar 2026 - 19:01

score 123 · Answer 3 · 2018-08-21 20:35:39

123

Views

How do we re-arrange a manifold cover without information on component-wise intersections in such a way that homology is computable?

Published on 21 Aug 2018 - 20:35

score 2.3k · Answer 4 · 2026-03-25 22:06:27

2.3k

Views

Relative homology $H_n(T^2,S^1)$ (Hatcher, Exc 2.1,17.b)

Published on 25 Mar 2026 - 22:06

score 207 · Answer 5 · 2026-03-25 03:04:18

207

Views

Applying a functor to a homotopy of chain maps yields an isomorphism of homology groups?

Published on 25 Mar 2026 - 3:04

score 623 · Answer 6 · 2026-03-25 19:00:25

623

Views

Functor preserving long exact sequences

Published on 25 Mar 2026 - 19:00

score 409 · Answer 7 · 2026-03-25 04:42:35

409

Views

How do we compute homology from the nerve $\text{Nrv}(\Sigma)$ for $\Sigma=\{S^n,\dots,S^n\}$ covering the CW complex $M$?

Published on 25 Mar 2026 - 4:42

score 294 · Answer 8 · 2018-08-24 10:04:01

294

Views

Non-equivalence of two variants of the excision axiom

Published on 24 Aug 2018 - 10:04

score 124 · Answer 9 · 2026-03-30 08:55:39

124

Views

Additive functor on a long exact sequence

Published on 30 Mar 2026 - 8:55

score 535 · Answer 10 · 2026-03-30 08:58:29

535

Views

Finding a chain map from an $F$-acyclic resolution to an injective resolution which is a monomorphism in each degree

Published on 30 Mar 2026 - 8:58

score 188 · Answer 11 · 2026-03-25 06:13:26

188

Views

What does it mean that if the cover of $k$-fold intersections is not contractible it takes the form of a spectral sequence of cohomology?

Published on 25 Mar 2026 - 6:13

score 52 · Answer 12 · 2026-03-25 06:13:13

52

Views

How do we compute homology from the Čech complex $\text{Čech}(r)$ with $B^{\infty}$ balls covering the Hilbert manifold $M$?

Published on 25 Mar 2026 - 6:13

score 232 · Answer 13 · 2026-03-25 18:56:28

232

Views

(Co)homology of HNN extensions

Published on 25 Mar 2026 - 18:56

score 314 · Answer 14 · 2026-03-25 22:41:53

314

Views

How to compute Čech homology and Mayer-Vietoris sequence upon passing a critical point of the energy functional of free loop space as a CW complex?

Published on 25 Mar 2026 - 22:41

score 523 · Answer 15 · 2026-03-25 02:47:40

523

Views

Massey product used to show that Borromean rings are linked

Published on 25 Mar 2026 - 2:47

List Question

Generators of the first homology group of a hyperelliptic curve.

Relation between the $2^n$-Bockstein homomorphisms

How do we re-arrange a manifold cover without information on component-wise intersections in such a way that homology is computable?

Relative homology $H_n(T^2,S^1)$ (Hatcher, Exc 2.1,17.b)

Applying a functor to a homotopy of chain maps yields an isomorphism of homology groups?

Functor preserving long exact sequences

How do we compute homology from the nerve $\text{Nrv}(\Sigma)$ for $\Sigma=\{S^n,\dots,S^n\}$ covering the CW complex $M$?

Non-equivalence of two variants of the excision axiom

Additive functor on a long exact sequence

Finding a chain map from an $F$-acyclic resolution to an injective resolution which is a monomorphism in each degree

What does it mean that if the cover of $k$-fold intersections is not contractible it takes the form of a spectral sequence of cohomology?

How do we compute homology from the Čech complex $\text{Čech}(r)$ with $B^{\infty}$ balls covering the Hilbert manifold $M$?

(Co)homology of HNN extensions

How to compute Čech homology and Mayer-Vietoris sequence upon passing a critical point of the energy functional of free loop space as a CW complex?

Massey product used to show that Borromean rings are linked

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