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Simplicial Cohomology of Orbifolds

By I. Moerdijk and D.A. Pronk

Abstract

For any orbifoldM, we explicitly construct a simplicial complex S(M)\ud from a given triangulation of the ‘coarse’ underlying space together with\ud the local isotropy groups ofM. We prove that, for any local system onM,\ud this complex S(M) has the same cohomology as M. The use of S(M) in\ud explicit calculations is illustrated in the example of the ‘teardrop’ orbifold

Topics: Wiskunde en Informatica
Year: 1997
OAI identifier: oai:dspace.library.uu.nl:1874/19250
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