1,122 reputation
1321
bio website
location France
age 29
visits member for 2 years, 4 months
seen 48 mins ago

I want to be a good reader in mathematics.

enter image description here


2d
revised How can we formulate maximal time $T$ in Hyperbolic Kahler Ricci flow
edited title
Jun
15
comment Elliptic curve and Galois representation
Warmest welcome to MO :)
Jun
15
revised looking for reference on dihedral, tetrahedral, or octahedral forms
I edited in the format of latex
Jun
15
suggested suggested edit on looking for reference on dihedral, tetrahedral, or octahedral forms
Jun
11
comment Kahler structure on holomorphic principal bundles
compact coadjoint orbits?
Jun
3
revised A question about Marsden-Weinstein reduction theory
deleted 108 characters in body
Jun
3
revised A question about Marsden-Weinstein reduction theory
edited body
Jun
3
revised A question about Marsden-Weinstein reduction theory
added 4 characters in body
Jun
3
revised A question about Marsden-Weinstein reduction theory
edited tags
Jun
3
answered A question about Marsden-Weinstein reduction theory
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
Peter Crooks, I am sorry, My question had not been written very well.
Jun
2
accepted If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
Peter Crooks made small mistake in A). I wanted just say A) as you see I gave a reference to his comment
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
Yes, exactly, I copy/pasted Peter's comment, so by these answer $M$ is not required to be compact in general case for A)
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
But for the action of $S^1$ on $\mathbb C^2$, the symplectic quotient is $\mathbb P^1$, which is not Kahler,so which condition here does not occurs?
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
But here in Theorem 3.3, he didn't mention that $M$ must be compact, I doubted and asked this question math.berkeley.edu/~alanw/277papers00/zhu.pdf
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
But what about A) is it correct?, I know that when $M$ is compact then the reduced space certainly has kahler structure
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
thanks PETER, So, I understand why Hitchin introduced another definition for symplectic quotient of hyper-kahler manifolds
Jun
2
comment If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
yes en.wikipedia.org/wiki/Hyperk%C3%A4hler_quotient, but, I am looking for noramal definition of symplectic quotient introduced by Marsdern and not this definition you mentioned. Your moment map is different. If you see I have used of $M//G$ and not $M///G$ which is for notation of Hitchin's reduced space for Hyperkahler manifolds
Jun
2
revised If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?
edited tags