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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), pp.43-47
Publisher: Springer, Cham
Publisher Place: Switzerland
Issue Date: 2017
Series/Report no.: MATRIX Book Series
ISBN: 9783319722986
Statement of
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.
RMID: 0030100115
DOI: 10.1007/978-3-319-72299-3_3
Grant ID:
Appears in Collections:Mathematical Sciences publications

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