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Results tagged with dg.differential-geometry
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user 1867
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
0
votes
1
answer
334
views
What are the Compact Symmetric Kahler Algebraic Varieties?
Here are some direct questions at the interface of algebraic and differential geometry:
(1) Is there an easy characterisation of those affine algebraic varieties which are Kahler?
(2) Is there an ea …
- 1,776
71
votes
6
answers
10k
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Kahler differentials and Ordinary Differentials
What's the relationship between Kahler differentials and ordinary differential forms?
- 1,776
2
votes
1
answer
302
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Is the object we get when we quotient $U(N)$ by $U(N-k)$ familar?
If we quotient $U(N)$ by $U(N-1)$ we get the odd dimensional sphere $S^{2N-1}$. (Here the quotient is in the sense of embedding $U(N-1)$ in the bottom right hand corner (with 1 as the (1,1) entry and …
- 1,776
1
vote
1
answer
3k
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Does the Hodge star operator respect complex structure?
The Hodge star operator $\ast$ acts on the differential forms of a differential manifold sending $\Omega^{k}$ to $\Omega^{N-k}$. If the manifold is complex, then for $p+q=k$, does $\ast$ map $\Omega^{ …
- 1,776
5
votes
1
answer
1k
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Flat Principal Connections and Homotopy Groups?
I've come across a comment in a paper that hints at a relation between the set of (flat) connections for a principal bundle and the homotopy group of the base of the bundle. Can anyone tell me what th …
- 1,776