bio | website | |
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location | ||
age | ||
visits | member for | 3 years, 5 months |
seen | 7 hours ago | |
stats | profile views | 3,223 |
Taking a break for a while.
Jul 28 |
answered | Examples of common false beliefs in mathematics |
Jul 26 |
comment |
Is there a generalization of homotopy groups to fractional dimensions
Is there a pointed topological space $S^{\frac{1}{2}}$ such that $S^{\frac{1}{2}}\wedge S^{\frac{1}{2}} = S^1$? |
Jul 23 |
reviewed | No Action Needed Some references for f-ring |
Jul 22 |
comment |
Can view the connected component of the Picard scheme $\text{Pic}^0(X)$ as a “kernel” of the first Chern class?
Not sure how helpful this is (I'm not an algebraic geometer), but I thought I would mention it. In Huybrechts' Complex Geometry: An Introduction, the Jacobian of a complex manifold $X$, denoted $\operatorname{Pic}^0(X)$, is defined as the kernel of the map $c_1 : \operatorname{Pic}(X) \to H^2(X, \mathbb{Z})$. Using the exponential sequence, one can show that $\operatorname{Pic}^0(X) \cong H^1(X, \mathcal{O})/H^1(X, \mathbb{Z})$. |
Jul 19 |
awarded | Marshal |
Jul 18 |
comment |
Dimension of two homotopy equivalent manifolds
Isn't $H_2(\mathbb{RP}^2, \mathbb{Z}) = 0$? |
Jul 15 |
comment |
Chern classes, vanishing of smooth sections or vanishing of holomorphic?
I believe you mean smooth sections rather than dual sections. |
Jul 15 |
reviewed | No Action Needed How to characterize flasque sheaves in more functorial way? |
Jul 14 |
reviewed | No Action Needed Example of a pair which is not weakly annihilating |
Jul 14 |
comment |
Question on product measure
Crossposted on MSE. |
Jul 13 |
revised |
Why is the fundamental group of a compact Riemann surface not free ?
Fixed the spacing of the matrices by changing \\\\ to \\. |
Jul 13 |
suggested | approved edit on Why is the fundamental group of a compact Riemann surface not free ? |
Jul 13 |
reviewed | No Action Needed The Matrix-Tree Theorem without the matrix |
Jul 8 |
revised |
Exotic group topologies on the affine group $ax+b$
Added MathJax and a tag. |
Jul 8 |
suggested | approved edit on Exotic group topologies on the affine group $ax+b$ |
Jul 3 |
awarded | Enlightened |
Jul 3 |
awarded | Nice Answer |
Jul 3 |
comment |
$\pi_8(S^5)=\pi_8(SO(6))=\mathbb{Z}/24$?
@YingfeiGu: You can use the fact that Qiaochu Yuan stated. Alternatively, it follows from the exact sequence (in particular, you don't need to know that $\pi_8(S^5)$ is finite). I have added some explanation. |
Jul 3 |
revised |
$\pi_8(S^5)=\pi_8(SO(6))=\mathbb{Z}/24$?
added 196 characters in body |
Jul 3 |
revised |
$\pi_8(S^5)=\pi_8(SO(6))=\mathbb{Z}/24$?
added 63 characters in body |