537 reputation
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location Rome, Italy
age 22
visits member for 4 months
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9h
comment Diagonalizability in $\mathbb{R}$ and $\mathbb{C}$
Try to look at a rotation matrix
10h
asked Cachazo-Douglas-Seiberg-Witten conjecture.
1d
comment Proving that the cohomology ring of $\mathbb{R}P^n$ is isomorphic to $\mathbb{Z}_{2}[x]/(x)^{n+1}$
@SammyBlack But why $H^{n-2}$? and why $\mathbb{R}P^{n-1}$ isn't the $0-$class in homology?
1d
comment Proving that the cohomology ring of $\mathbb{R}P^n$ is isomorphic to $\mathbb{Z}_{2}[x]/(x)^{n+1}$
@SammyBlack But how can I find the isomorphism?
1d
asked Proving that the cohomology ring of $\mathbb{R}P^n$ is isomorphic to $\mathbb{Z}_{2}[x]/(x)^{n+1}$
2d
comment Cohomology $H^ {i}(\mathbb{R}P^n, \mathbb{Z}_2)$
The functor $Hom=(-,\mathbb{Z}_2)$ what categories involves?
2d
comment Cohomology $H^ {i}(\mathbb{R}P^n, \mathbb{Z}_2)$
I don't know why up the secondo arrow there is a $2$... are there all 0?
2d
comment Cohomology $H^ {i}(\mathbb{R}P^n, \mathbb{Z}_2)$
@OlivierBégassat I wish to know only the group structure and I know only CW and singular cohomology...
2d
comment Cohomology $H^ {i}(\mathbb{R}P^n, \mathbb{Z}_2)$
@ No.. I'm sorry
2d
asked Cohomology $H^ {i}(\mathbb{R}P^n, \mathbb{Z}_2)$
May
15
comment Dolbeault cohomology of $S^{2n-1} \times S^1$
@Matt Yes, I posted also on MO but I don't understand why this form is closed but non exact...
May
15
comment Dolbeault cohomology of $S^{2n-1} \times S^1$
@Matt Yes... I wrote it.
May
15
asked Dolbeault cohomology of $S^{2n-1} \times S^1$
May
13
comment Isomorphism $\left(\mathbb{C}^{n}\setminus\{0\}\right)/\mathbb{Z}$ with $S^{1} \times S^{2n-1}$
How can I define $\equiv$?
May
13
asked Isomorphism $\left(\mathbb{C}^{n}\setminus\{0\}\right)/\mathbb{Z}$ with $S^{1} \times S^{2n-1}$
May
13
comment Tangent bundle of Grassmann manifold
@KimJung-un It is very easy for $T\mathbb{R}P^n$, because we can define the application $$ T\mathbb{R}P^n \rightarrow Hom(\gamma^1, \gamma^\perp) $$ sending the line in $S^n$ passing for $x$ and $-x$ in the application $L:\gamma^1 \rightarrow \gamma^\perp$ sending the line $l_x$ in the vector $v \in L^\perp$ such that $<x,v>=0$.
May
12
asked Tangent bundle of Grassmann manifold
May
11
comment $GL(n, \mathbb{C})$ is algebraically closed?
@BenjaLim Let $n$ be a natural number. We can take $n$ elements in $GL$ and with them we can build a polinomial $p$ with $deg(p)=n−1$. Is it true that this polynomial has roots in $GL$?
May
11
comment $GL(n, \mathbb{C})$ is algebraically closed?
@MichaelJoyce Let $n$ be a natural number. We can take $n$ elements in $GL$ and with them we can build a polinomial $p$ with $deg(p)=n-1$. Is it true that this polynomial has roots in GL?
May
11
answered Proof of Volume of sphere