Unitary representations of the fundamental group of Orbifolds

Details Unitary representations of the fundamental group of Orbifolds Unitary representations of the fundamental group of Orbifolds

2009-08-27

arxiv.org/abs/0908.4037v2

Mathematics

Algebraic Geometry

revised version

Scientific paper

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.

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