5,673 reputation
22163
bio website math.berkeley.edu/~cgerig
location UC Berkeley
age 26
visits member for 4 years, 5 months
seen yesterday

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