bio  website  math.berkeley.edu/~cgerig 

location  UC Berkeley  
age  26  
visits  member for  4 years, 2 months 
seen  6 hours ago  
stats  profile views  6,598 
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 3rd year student of Michael Hutchings.
I greatly thank Allen Hatcher for his recommendation letter which pulled me into college, after learning algebraic topology through his book in high school.
2d

answered  Why not develop a Hamiltonianbased Morse theory? 
Mar 27 
comment 
Mathematical statistical qm bookrecommendation
Quantum Physics: A Functional Integral Point of View by Glimm and Jaffe (they're theoretical physicists). That's the closest I can think of, which should suffice since it is rigorous, but I find it hard to follow (they leave a lot up to the reader). 
Mar 20 
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Pseudomanifolds and Poincaré duality
Oh I thought "Poincare duality space" just meant $H^k\approx H_{nk}$ and not necessarily induced by maps, sorry. 
Mar 20 
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Pseudomanifolds and Poincaré duality
Ah, the "kissing banana" is not a pseudomanifold (doesn't satisfy second bullet point), nevermind! 
Mar 19 
revised 
$\pi_0${plane fields}$\to\mathbb{Z}_2$
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Mar 18 
reviewed  Reject A metric for Grassmannians 
Mar 16 
answered  What if the lowdegree cohomology of a $G$module and all its restrictions vanish? 
Mar 4 
comment 
Elliptic operators corresponds to non vanishing vector fields
Yes; I think the spherical harmonics won't be in the image, because they can't be integrated (when solving for the corresponding function in the domain). For example, in order for $D_X(f)=\cos\phi$ you need $f=\sin^2\theta\ln\sin\phi$ which blows up at $\phi=0,\pi$. 
Feb 24 
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Elliptic operators corresponds to non vanishing vector fields
@AliTaghavi, I think the cokernel is infinitedimensional. 
Feb 24 
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liftings of principal bundles
OK, what then makes the coefficient system constant when $K$ is central? Some sort of reduction map must be arising somewhere? 
Feb 23 
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liftings of principal bundles
Can you explain why local coefficients are required when $K$ is abelian but not central? 
Feb 23 
revised 
Coboundary of a cupproduct
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Feb 23 
revised 
Coboundary of a cupproduct
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Feb 23 
revised 
Coboundary of a cupproduct
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Feb 23 
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Coboundary of a cupproduct
True, but an exercise in that book gives this as a special case to a more general "stability" result, which I was hopeful would be of use here. And I now agree with Neil's comment. I was originally equating $H^\ast(X\times A,A\times A)$ with $H^\ast(X,A)$ and I no longer hold that in my mind. 
Feb 23 
revised 
Coboundary of a cupproduct
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Feb 23 
revised 
Coboundary of a cupproduct
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Feb 23 
revised 
Coboundary of a cupproduct
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Feb 23 
comment 
Coboundary of a cupproduct
Sure there is, see chapter VII section 8 of Dold's Lectures on Algebraic Topology, where $(X,A,\varnothing)$ is an excisive triad. The "stability" property 8.10 seems highly relevant. 
Feb 23 
revised 
Coboundary of a cupproduct
mainly removed a redundant sentence 