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Vamsi
  • Member for 14 years, 10 months
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asked
A (non-Kahler) metric on projectivised vector bundles
asked
Holomorphic h-principle for compact manifolds
accepted
When is a given matrix of two forms a curvature form?
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When is a given matrix of two forms a curvature form?
The Bianchi identity guarantees this ($dtr(F^k) = ktr(dF F^{k-1})=ktr([B,F]F^{k-1})=0$)
revised
When is a given matrix of two forms a curvature form?
added 17 characters in body
asked
When is a given matrix of two forms a curvature form?
accepted
An example of a complex manifold without a finite open cover
accepted
Branched covers of compact Riemann surfaces
asked
Atiyah-Bott Yang-Mills connections
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Branched covers of compact Riemann surfaces
Indeed it is a central extension of the fundamental group.
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Branched covers of compact Riemann surfaces
Thanks! I apologise for my question, but this won't work for a compact R.S minus a finite number of points would it? If it doesn't, then is there an analogue? Also, would the branching index of $S^{'}$ not be $N$ times the number of sheets in $S_1$?
revised
Branched covers of compact Riemann surfaces
added 7 characters in body
asked
Branched covers of compact Riemann surfaces
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Quillen metric definition
Yes Paul, I mean the restriction of the $L^2$ metric.
asked
Quillen metric definition
answered
Which mathematicians have influenced you the most?
accepted
Mehta-Seshadri and Parabolic bundles
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Mehta-Seshadri and Parabolic bundles
Yeah, thanks. I realised that yesterday (Biquard gives us a projective representation of the fundamental group which then is a representation of an extension of the same).
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Mehta-Seshadri and Parabolic bundles
@Mattia: Thanks. Do you happen to have an online copy of the paper? I can't seem to find it at all?
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Mehta-Seshadri and Parabolic bundles
@Dmitri, I mean : Let $V$ be a stable bundle on a smooth curve $C$ and suppose the parabolic degree (=deg(E) + sum of weights of the flags) is not zero. Then, is it true that one can naturally associate a representation of the central extension of $\pi_1$ of $C$ minus some points to $V$?
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