Akela's user avatar
Akela's user avatar
Akela's user avatar
Akela
  • Member for 13 years, 10 months
5 votes
3 answers
664 views

Counting connected manifolds

14 votes
4 answers
4k views

Zariski closed sets in C^n are of measure 0

2 votes
2 answers
748 views

Domains of holomorphy in the complex plane

38 votes
3 answers
12k views

Why do the homology groups capture holes in a space better than the homotopy groups?

29 votes
5 answers
12k views

(Co)homology of the Eilenberg-MacLane spaces K(G,n)

30 votes
3 answers
3k views

What is special about polylogarithms that leads to so many interesting identities and applications?

10 votes
2 answers
3k views

Differentiable structures on R^3

7 votes
1 answer
622 views

Precise relation between prime number theorem and zero-free region

8 votes
1 answer
3k views

Why are order-k differential forms sections of the kth exterior power of the cotangent bundle?

15 votes
6 answers
5k views

Fundamental group of the line with the double origin.

5 votes
4 answers
2k views

Distributions more complicated than the Dirac δ and derivatives

59 votes
1 answer
14k views

Is the Green-Tao theorem true for primes within a given arithmetic progression?

12 votes
3 answers
1k views

Relevance of the complex structure of a function algebra for capturing the topology on a space.

8 votes
2 answers
4k views

How does singular homology H_n capture the number of n-dimensional "holes" in a space?

9 votes
4 answers
4k views

Canonical fundamental domain for a discrete subgroup Γ of SL₂(R) acting on hyperbolic plane

17 votes
2 answers
2k views

Is a conceptual explanation possible for why the space of 1-forms on a manifold captures all its geometry?

8 votes
2 answers
1k views

The word "torsion" and its connection to geometry and homology

5 votes
1 answer
2k views

How to compute the (co)homology of a compact Riemann surface?

4 votes
2 answers
365 views

Determining the field from the topology of the affine space over it.

14 votes
3 answers
4k views

Why are integrals over cycles called periods?

3 votes
4 answers
611 views

How to determine explicit description for a projective variety?

3 votes
3 answers
454 views

Why is continuity required for sheaf-theoretic definitions of a structure on a space

13 votes
3 answers
3k views

Are there applications of algebraic geometry into algebraic topology?

11 votes
2 answers
2k views

Why the choice of the simplex for defining homology?

3 votes
1 answer
354 views

What is the order of differentiability of the tangent bundle of a C^2- manifold?

14 votes
3 answers
2k views

Ways of formulating homological algebra without diagram chasing

1 vote
1 answer
169 views

Does there exists a (possibly homological) characterization of the Jordan curve property in all dimensions?

3 votes
1 answer
2k views

Does there exist a classification of covering spaces in algebraic geometry?