bio | website | mysbfiles.stonybrook.edu/… |
---|---|---|
location | Simons Center | |
age | 31 | |
visits | member for | 5 years |
seen | 2 days ago | |
stats | profile views | 2,921 |
Research Asst Professor
Interested in Symplectic geometry, complex Algebraic geometry, Gromov-Witten theory, Mirror symmetry, Calabi-Yau threefolds, Enumerative geometry, Abelian surfaces, Moduli space of objects with real structure, ...
Apr 10 |
awarded | Yearling |
Apr 6 |
awarded | Popular Question |
Mar 30 |
comment |
Symplectic form/Kahler metric on a toric manifold
Even for m=2 case of example above, it seems to me that the equality you want does not hold. The coefficient of $dz\wedge d\bar{z}$ in $f^*w_{FS}$ is equal to $[a(4|z|^4+|w|^2)-4|z|^4|w|^2]/a^2$, with $a=(1+|z|^4+|z|^2|w|^2+|w|^4)$, which is different from the corresponding coefficient of $dz\wedge d\bar{z}$ in $w_{FS}$ of $\mathbb{P}^1$. |
Mar 30 |
comment |
Symplectic form/Kahler metric on a toric manifold
Have you checked this for $f:\mathbb{P}^1\to \mathbb{P}^{m}$, $[z,w]\to[z^m,z^{m-1}w,\ldots, w^m]$? here, everything is explicitly checkable. |
Mar 28 |
comment |
Symplectic form/Kahler metric on a toric manifold
are not they equal? up to scaling? |
Feb 18 |
revised |
Triviality of holomorphic vector bundles over contractible Stein manifolds
deleted 2 characters in body |
Jan 31 |
accepted | A question on compact sets |
Jan 31 |
comment |
A question on compact sets
This proof readily extends to compact sets inside any metrizable topological space, instead of $\mathbb{R}^n$. Do you see a way of changing the proof that does not involve the use of metric. |
Jan 28 |
comment |
A question on compact sets
N is just a number. |
Jan 28 |
reviewed | Approve A question on compact sets |
Jan 28 |
comment |
A question on compact sets
:) YES (I knew someone would say that ;)) |
Jan 28 |
asked | A question on compact sets |
Dec 23 |
accepted | Quotient of the hyperbolic plane with respect to commutator group of $\pi_1(\Sigma_g)$ |
Dec 1 |
comment |
Question about the h-principle
You question is not readable! |
Nov 27 |
awarded | Popular Question |
Nov 27 |
comment |
Moment map coordinates in tours action
originally, a metric $g$ is a pairing between vectors, but it also induces a metric on convectors or any other tensor field; this is the first one. For the second one, you can apply the one form $dz_i$ to the vector field valued 1-form $\nabla \tau_k$ and the result is a 1-form which you want to be zero. |
Nov 25 |
comment |
Mirror symmetry for polarized abelian surfaces and Shioda-Inose K3s
I have no answer for your question, but, is there any related argument for Enrique surfaces? |
Nov 21 |
comment |
Quotient of the hyperbolic plane with respect to commutator group of $\pi_1(\Sigma_g)$
Sure, but this is as abstract as the original definition. |
Nov 17 |
accepted | Reference request for cohomology of coverings |
Nov 17 |
comment |
Reference request for cohomology of coverings
cool example, thanks. |