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Eric O. Korman's user avatar
Eric O. Korman's user avatar
Eric O. Korman's user avatar
Eric O. Korman
  • Member for 13 years, 10 months
  • Last seen more than a month ago
69 votes

Conjectures that have been disproved with extremely large counterexamples?

67 votes

Best Algebraic Topology book/Alternative to Allen Hatcher free book?

67 votes
Accepted

Is the vector cross product only defined for 3D?

33 votes
Accepted

Fundamental group of the special orthogonal group SO(n)

23 votes
Accepted

Why is the orthogonal group $\operatorname{O}(2n,\mathbb R)$ not the direct product of $\operatorname{SO}(2n, \mathbb R)$ and $\mathbb Z_2$?

22 votes
Accepted

Is the determinant the "only" group homomorphism from $\mathrm{GL}_n(\mathbb R)$ to $\mathbb R^\times$?

20 votes

No diffeomorphism that takes unit circle to unit square

19 votes
Accepted

Intuitive explanation of covariant, contravariant and Lie derivatives

19 votes

Surprising Generalizations

19 votes
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What are defining & fundamental representations?

17 votes

Lie algebra of a quotient of Lie groups

17 votes

Why do people care about principal bundles?

15 votes

Roadmap to study Atiyah–Singer index theorem

15 votes
Accepted

Show the existence of a polynomial $f$ such that $T^{-1} = f(T)$ for an invertible linear operator $T.$

15 votes
Accepted

Are $x \cdot 0 = 0$, $x \cdot 1 = x$, and $-(-x) = x$ axioms?

15 votes
Accepted

Two Definitions of the Special Orthogonal Lie Algebra

15 votes
Accepted

Is the Structure Group of a Fibre Bundle Well-Defined?

14 votes
Accepted

Do all representations of finite groups have one-dimensional subrepresentations?

14 votes

$\Omega=x\;dy \wedge dz+y\;dz\wedge dx+z\;dx \wedge dy$ is never zero when restricted to $\mathbb{S^2}$

13 votes
Accepted

Does the group of Diffeomorphisms act transitively on the space of Riemannian metrics?

13 votes
Accepted

Showing a vector field is tangent to the 2-sphere

13 votes
Accepted

fundamental group of $U(n)$

13 votes

Good Physical Demonstrations of Abstract Mathematics

13 votes

Why are $3D$ transformation matrices $4 \times 4$ instead of $3 \times 3$?

12 votes

What's so "natural" about the base of natural logarithms?

12 votes
Accepted

How do I measure distance on a globe?

12 votes
Accepted

If $A$ is a subobject of $B$, and $B$ a subobject of $A$, are they isomorphic?

12 votes

Equivalence of Definitions of Principal $G$-bundle

11 votes
Accepted

Learning Roadmap for Borel - Weil - Bott Theorem

11 votes

Intuition behind $dx \wedge dy=-dy \wedge dx$

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