dorsal/arxiv
View Schemasimplicial cohomology of orbifolds
| Authors | Ieke Moerdijk, Dorette A Pronk |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9708021 |
| URL | https://arxiv.org/abs/q-alg/9708021 |
Abstract
For any orbifold M, we explicitly construct a simplicial complex S(M) from a given triangulation of the `coarse' underlying space together with the local isotropy groups of M. We prove that, for any local system on M, this complex S(M) has the same cohomology as M. The use of S(M) in explicit calculations is illustrated in the example of the `teardrop' orbifold.
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"abstract": "For any orbifold M, we explicitly construct a simplicial complex S(M) from a\ngiven triangulation of the `coarse\u0027 underlying space together with the local\nisotropy groups of M. We prove that, for any local system on M, this complex\nS(M) has the same cohomology as M. The use of S(M) in explicit calculations is\nillustrated in the example of the `teardrop\u0027 orbifold.",
"arxiv_id": "q-alg/9708021",
"authors": [
"Ieke Moerdijk",
"Dorette A Pronk"
],
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"title": "simplicial cohomology of orbifolds",
"url": "https://arxiv.org/abs/q-alg/9708021"
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