Indranil Biswas
Published 2016-08-08Version 1
A new construction of a universal connection was given in \cite{BHS}. The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle $E$ over a compact Riemann surface admits a holomorphic connection if and only if the degree of every direct summand of $E$ is degree. In \cite{AB}, this criterion was generalized to principal bundles on compact Riemann surfaces. This criterion for principal bundles is also explained.
On projectivized vector bundles and positive holomorphic sectional curvature
A New Construction of Isospectral Riemannian Nilmanifolds with Examples
Construction of Triply Periodic Minimal Surfaces
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