bio  website  math.berkeley.edu/~cgerig 

location  UC Berkeley  
age  25  
visits  member for  3 years, 11 months 
seen  13 mins ago  
stats  profile views  6,164 
After doing my BS in engineering physics, I started my PhD in experimental atomic physics. But I quit to do math, and am now a student of Michael Hutchings!
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Companion to theoretical physics for working mathematicians
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Companion to theoretical physics for working mathematicians
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answered  Companion to theoretical physics for working mathematicians 
Dec 11 
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Symplectic Submanifolds of Contact Manifolds and Contact Submanifolds of Symplectic Manifolds
You can hope for a hypersurface and a chosen primitive for $\omega$ in a neighborhood of it. This is in the spirit of the "canonical" example $(M,\lambda)\subset (\mathbb{R}\times M,d(e^s\lambda))$. 
Nov 24 
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Inverted pair of complex analytic families
I don't quite understand the dictionary between the referenced paper and the problem here, can you explain further? 
Nov 23 
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Inverted pair of complex analytic families
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Nov 22 
reviewed  Approve combinatorialgametheory tag wiki 
Nov 19 
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Inverted pair of complex analytic families
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Nov 19 
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Embedded Contact Homology and Manifold Decompositions
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Nov 19 
answered  Embedded Contact Homology and Manifold Decompositions 
Nov 17 
asked  Inverted pair of complex analytic families 
Nov 2 
awarded  Popular Question 
Oct 23 
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Why the DoldThom theorem?
I don't, but I also tend not to gain intuition by making things more abstract (that's a statement about me). Jesse's answer, along with the comments under the question, does seem to provide an intuition about the two things directly; although I will admit that I prefer something similar in spirit to Ryan's suggestion. 
Oct 23 
accepted  Why the DoldThom theorem? 
Oct 23 
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Why the DoldThom theorem?
OK, if I buy this and $S_f$'s existence, then to get an element of $X$'s homology, I take the composition $S_f\hookrightarrow S^i\times X\twoheadrightarrow X$ and pushforward the image of the fundamental class $[S_f]$? Why would this be the "correct" element? 
Oct 23 
revised 
Why the DoldThom theorem?
Consolidating the important comments 
Oct 23 
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Why the DoldThom theorem?
So I think this response shifts my question onto another isomorphism, and my question is then: "Why is $\pi_*(F(X))\cong \widetilde{kO}_*(X)$ true, intuitively?" I see a proof of the isomorphism, but I think it skirts my question. 
Oct 22 
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Why the DoldThom theorem?
I'm sorry I cant' wrap my head around this yet, even for $i=1$. In the first paragraph, $k$ can't vary across the cells of $S^i$, right? And I don't see how the "subspace" of $S^i\times X$ come together to form a CWcomplex. I also didn't understand the last sentence; how does the map $S_f\to S^i$ relate to "lifted maps to $X^k$"? And how do I ultimately get an element of homology of $X$? 