User Henry T. Horton

92 votes

Accepted

Not every metric is induced from a norm

answered Jul 4, 2012 at 2:37

44 votes

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Show that unit circle is compact?

answered Mar 21, 2013 at 20:49

38 votes

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Question about Milnor's talk at the Abel Prize

answered Jun 25, 2012 at 22:56

37 votes

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Roadmap to study Atiyah–Singer index theorem

answered Feb 5, 2013 at 2:45

30 votes

Proving that the general linear group is a differentiable manifold

answered Jul 26, 2012 at 13:48

28 votes

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Dolbeault Cohomology is invariant under homeomorphisms

answered Jan 30, 2013 at 21:51

27 votes

The "Easiest" non-smoothable manifold

answered Jun 1, 2013 at 17:56

23 votes

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$C^\infty$ dense in Sobolev spaces

answered Aug 18, 2012 at 23:58

23 votes

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Can $\mathbb CP^n$ be the boundary of a compact manifold?

answered Aug 19, 2012 at 23:51

23 votes

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Why is the total derivative of a diffeomorphism invertible?

answered Oct 4, 2012 at 20:34

22 votes

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Why any field is a principal ideal domain?

answered Jun 9, 2013 at 1:31

19 votes

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The tangent space to the intersection is the intersection of the tangent spaces.

answered Jul 8, 2013 at 21:50

19 votes

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Why is the moduli space of flat connections a symplectic orbifold?

answered Feb 5, 2013 at 15:23

18 votes

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Examples of non-Riemann surfaces?

answered Jun 3, 2012 at 23:25

17 votes

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Why should a symplectic form be closed?

answered Jan 29, 2013 at 22:11

16 votes

Intuition of Chern-Weil theory

answered Oct 11, 2013 at 23:53

15 votes

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Are there exotic symplectic structures on $ S^2 $?

answered Jul 22, 2013 at 2:24

15 votes

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Showing that every finitely presented group has a $4$-manifold with it as its fundamental group

answered May 12, 2014 at 22:02

15 votes

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Every principal $G$-bundle over a surface is trivial if $G$ is compact and simply connected: reference?

answered Apr 23, 2013 at 13:49

15 votes

Moment map of the action of $\operatorname{SO}(3)$ on the sphere

answered Jun 29, 2012 at 21:31

15 votes

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If two CW complexes have isomorphic homotopy groups, are they homotopy equivalent?

answered Jan 21, 2013 at 2:11

15 votes

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Cohomology of Grassmannian

answered Jan 22, 2013 at 0:01

15 votes

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how to understand the tensor product canonical line bundle $\otimes$ dual bundle

answered Jul 13, 2012 at 1:50

14 votes

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Cigar soliton solution

answered Apr 10, 2012 at 17:34

13 votes

Torsion on $\pi_1(X)$, $X$ connected and open in $\mathbb{R}^n$

answered Jan 25, 2013 at 23:15

13 votes

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Second Stiefel-Whitney Class of a 3 Manifold

answered Jan 10, 2013 at 23:10

13 votes

Computation of Laplace-Beltrami operator in a conformally equivalent metric

answered Jan 26, 2013 at 0:50

12 votes

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Darboux's theorem in symplectic geometry

answered Mar 5, 2013 at 16:42

12 votes

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What does it mean to "calculate in local coordinates" on a manifold?

answered Mar 23, 2013 at 20:45

11 votes

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Symplectic reduction: involutive and non-involutive first integrals

answered Jul 12, 2012 at 4:26

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234 Answers

Not every metric is induced from a norm

Show that unit circle is compact?

Question about Milnor's talk at the Abel Prize

Roadmap to study Atiyah–Singer index theorem

Proving that the general linear group is a differentiable manifold

Dolbeault Cohomology is invariant under homeomorphisms

The "Easiest" non-smoothable manifold

$C^\infty$ dense in Sobolev spaces

Can $\mathbb CP^n$ be the boundary of a compact manifold?

Why is the total derivative of a diffeomorphism invertible?

Why any field is a principal ideal domain?

The tangent space to the intersection is the intersection of the tangent spaces.

Why is the moduli space of flat connections a symplectic orbifold?

Examples of non-Riemann surfaces?

Why should a symplectic form be closed?

Intuition of Chern-Weil theory

Are there exotic symplectic structures on $ S^2 $?

Showing that every finitely presented group has a $4$-manifold with it as its fundamental group

Every principal $G$-bundle over a surface is trivial if $G$ is compact and simply connected: reference?

Moment map of the action of $\operatorname{SO}(3)$ on the sphere

If two CW complexes have isomorphic homotopy groups, are they homotopy equivalent?

Cohomology of Grassmannian

how to understand the tensor product canonical line bundle $\otimes$ dual bundle

Cigar soliton solution

Torsion on $\pi_1(X)$, $X$ connected and open in $\mathbb{R}^n$

Second Stiefel-Whitney Class of a 3 Manifold

Computation of Laplace-Beltrami operator in a conformally equivalent metric

Darboux's theorem in symplectic geometry

What does it mean to "calculate in local coordinates" on a manifold?

Symplectic reduction: involutive and non-involutive first integrals