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Results tagged with dg.differential-geometry
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user 35615
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
0
votes
0
answers
162
views
SU(N) covariant derivatives
Is there any book or paper that discusses the differential operators corresponding to $SU(N)$ $(N=4,5,...)$ covariant derivatives in details? At least for the case of $N=4,$ the explicit form is of hi …
- 151
1
vote
0
answers
299
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Steepest descent path and Picard-Lefschetz theory
Assume that an ordinary integral of the form
$$I=\int_{-\infty}^{\infty}dx e^{-f(x)} $$
for some real function $f(x)$ is given where $f(x)$ is well defined over all $\mathbb{R}$ and the integral is co …
- 151
2
votes
0
answers
613
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Volume of $SL(2,\mathbb{C})$ [closed]
So according to http://www-users.math.umn.edu/~garrett/m/v/SL2C.pdf
I can write the Haar measure of $SL(2,\mathbb{C})$ as
$$d\mu = \sinh^2(r) dr dk dk'$$
where $r$ runs over nonnegative real numbers a …
- 151