bio | website | math.berkeley.edu/~cgerig |
---|---|---|
location | UC Berkeley | |
age | 26 | |
visits | member for | 4 years, 7 months |
seen | 6 hours ago | |
stats | profile views | 7,020 |
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.
Aug
19 |
accepted | Representing classes in *relative* homology by submanifolds |
Aug
18 |
comment |
Representing classes in *relative* homology by submanifolds
Ah nice, excision allows Lefschetz duality to get rid of the reduced homology. But at the very end, we are applying the Pontryagin-Thom construction... does it really work for manifolds with boundary? It looks like I have to build language to handle cobordisms/framings with corners. |
Aug
18 |
revised |
Representing classes in *relative* homology by submanifolds
added 32 characters in body |
Aug
18 |
asked | Representing classes in *relative* homology by submanifolds |
Aug
7 |
reviewed | Reject Possible lower bound in quantum many body system with non-local terms |
Aug
7 |
awarded | Good Question |
Aug
6 |
awarded | Nice Answer |
Aug
5 |
awarded | Good Question |
Aug
1 |
comment |
Non-degenerate periodic orbits in the boundary of Lefschetz fibration over a disk
Just a comment that might spark a thought: $\phi_\Omega$ is a symplectomorphism w.r.t. $\Omega$, and periodic orbits of period $p$ are fixed points of $\phi^p_\Omega$. For a generic time-dependent Hamiltonian $H$ on $\pi^{-1}(1)$, the perturbed map $\psi_H\circ \phi_\Omega$ has only nondegenerate fixed points (where $\psi_H$ is the time-1 flow of the Hamiltonian isotopy). However, we can't recast a change $\Omega\mapsto\Omega'$ as an existence of $H$, because $\psi_H\circ\phi_\Omega$ is still a symplectomorphism w.r.t. the original $\Omega$. |
Jul
30 |
comment |
Witten's proof of Morse inequalities, question on eigenvalues?
This is all contained in the OP's link, and does not answer his question. |
Jul
30 |
comment |
The term $H^1(N,A)^{G/N}$ in the inflation-restriction exact sequence
When in doubt, consult Ken Brown's Cohomology of Groups! |
Jul
28 |
revised |
Witten's proof of Morse inequalities, question on eigenvalues?
added 47 characters in body |
Jul
28 |
revised |
Witten's proof of Morse inequalities, question on eigenvalues?
added 10 characters in body |
Jul
28 |
answered | Witten's proof of Morse inequalities, question on eigenvalues? |
Jul
26 |
comment |
Is there a generalization of homotopy groups to fractional dimensions
What is a half-dimensional sphere? |
Jul
24 |
awarded | Popular Question |
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
26 |
revised |
Nontrivial finite group with trivial cohomology in prescribed degree
added 171 characters in body |