bio | website | math.berkeley.edu/~cgerig |
---|---|---|
location | UC Berkeley | |
age | 26 | |
visits | member for | 4 years, 5 months |
seen | yesterday | |
stats | profile views | 6,848 |
After doing my BS in engineering physics (with experimental research on gravity), I started my PhD in experimental atomic physics. But I quit to do math, and am now a 4th year student of Michael Hutchings.
Jun 7 |
comment |
Perturbation of eigenvalues of some special matrices
I've quickly attempted an interpretation of the OP by adding some background, but this can be made much more precise by giving explicit examples of those "general results". |
Jun 7 |
revised |
Perturbation of eigenvalues of some special matrices
my guess at the intended question (since it was closed otherwise) |
Jun 2 |
comment |
Flux group of surfaces with genus $g\ge2$
.....Their paper not only gives the reference [3] of Kedra, Remarks on the Flux Group, but says precisely what part of this paper proves triviality (Theorem B). A surface of genus greater than 1 has nonzero Euler characteristic and is aspherical. |
May 27 |
comment |
Soft Question: Relationships Between Moduli Space and Objects They Parametrize
Community Wiki? Typically, the dimension of your moduli will be a Fredholm index of some operator, namely the linearization of the equations which define your objects, and this is how the Euler characteristic and more general characteristic classes and whatnot appears. Outside of that, you can build structure on the moduli (such as symplectic form and Riemannian metric) by using the data on your objects. |
May 26 |
revised |
Nontrivial finite group with trivial cohomology in prescribed degree
added 171 characters in body |
May 26 |
comment |
Interpretation of the monomorphism $H^2(\pi_1(X),\mathbb{Z}) \rightarrow H^2(X,\mathbb{Z})$
This is obtained for $X=BG$ in mathoverflow.net/questions/48489/… |
May 26 |
comment |
Nontrivial finite group with trivial cohomology in prescribed degree
True, what I wrote is not the minimal period. It does admit a periodic resolution of that period, which suffices as my intent. |
May 26 |
answered | Nontrivial finite group with trivial cohomology in prescribed degree |
May 19 |
revised |
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
added 307 characters in body |
May 19 |
revised |
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
clarifications |
May 19 |
comment |
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
The branch points are in the image; it's the critical values that you're really counting. |
May 19 |
comment |
How to learn QFT from mathematical perspective?
Based on the OP's first sentence, his honest interest must be in TQFT, for which @Vectornaut's answer hits. As such, it is really not learning QFT. |
May 19 |
revised |
actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension
added 343 characters in body |
May 18 |
comment |
How to learn QFT from mathematical perspective?
This should be upvoted way more than it currently is. We should also add the 1994 IAS lecture notes "Geometry and QFT". |
May 18 |
answered | actual dimension of concrete moduli space of holomorphic curves vs its virtual dimension |
May 17 |
comment |
Hochschild-Serre spectral sequence
This is found in the standard book on group cohomology, by Ken Brown. In particular, yes, it's the usual structure (given in Chapter III.8.2 of that book). |
Apr 28 |
comment |
Frame-bundle reduction from spinor-bundle reduction
Why does it fail to be transitive for $d\ge 10$? |
Apr 4 |
comment |
*The* open problem in General Relativity?
That means you're not looking for mathematical problems which relate GR to QFT. In which case, I haven't heard of there being the problem on everyone's minds. But, you'll be interested in the mathematical seminar paper of Penrose, Some Unsolved Problems in Classical General Relativity. |
Apr 3 |
comment |
Nilpotence of the stable Hopf map via framed cobordism
@Qiaochu: It's more of a hunch. For some manifolds, vanishing signature implies framed-nullcobordance. |
Apr 2 |
revised |
Universal coefficient theorem for group homology and cohomology
added 337 characters in body |