Adelaide Research & Scholarship
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https://hdl.handle.net/2440/115189
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| Type: | Book chapter |
| Title: | The smooth Hom-stack of an orbifold |
| Author: | Roberts, D. Vozzo, R. |
| Citation: | 2016 MATRIX Annals, 2017 / Wood, D., de Gier, J., Praeger, C., Tao, T. (ed./s), vol.1, pp.43-47 |
| Publisher: | Springer, Cham |
| Publisher Place: | Switzerland |
| Issue Date: | 2017 |
| Series/Report no.: | MATRIX Book Series |
| ISBN: | 9783319722986 |
| Editor: | Wood, D. de Gier, J. Praeger, C. Tao, T. |
| Statement of Responsibility: | David Michael Roberts and Raymond F. Vozzo |
| Abstract: | For a compact manifold M and a differentiable stack X presented by a Lie groupoid X, we show the Hom-stack Hom.M;X/ is presented by a Frechet- Lie groupoid Map.M; X/ and so is an infinite-dimensional differentiable stack. We further show that if X is an orbifold, presented by a proper etale Lie groupoid, then Map.M; X/ is proper etale and so presents an infinite-dimensional orbifold. |
| Keywords: | math.DG math.CT |
| Rights: | © Springer International Publishing AG, part of Springer Nature 2018. Chapter ‘The smooth Hom-stack of an orbifold’ is published with kind permission of © David Michael Roberts and Raymond Vozzo 2018. All Rights Reserved. |
| DOI: | 10.1007/978-3-319-72299-3_3 |
| Grant ID: | http://purl.org/au-research/grants/arc/DP120100106 http://purl.org/au-research/grants/arc/DP130102578 |
| Published version: | http://dx.doi.org/10.1007/978-3-319-72299-3_3 |
| Appears in Collections: | Aurora harvest 3 Mathematical Sciences publications |
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