Unitary representations of the fundamental group of Orbifolds

Indranil Biswas, Amit Hogadi

Published 2009-08-27, updated 2012-02-06Version 2

There is a well known bijective correspondence between isomorphism classes of polystable vector bundles $E$ with $c_i(E)=0$ for $i\geq 1$ on a smooth complex projective variety and equivalence classes of unitary representations of the fundamental group of the variety. We show that this bijective correspondence extends to smooth orbifolds.