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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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 …
Abtan Massini's user avatar
71 votes
6 answers
10k views

Kahler differentials and Ordinary Differentials

What's the relationship between Kahler differentials and ordinary differential forms?
Abtan Massini's user avatar
2 votes
1 answer
302 views

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 …
Abtan Massini's user avatar
5 votes
1 answer
1k views

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 …
Abtan Massini's user avatar