The smooth Hom-stack of an orbifold
Date
2017
Authors
Roberts, D.
Vozzo, R.
Editors
Wood, D.
de Gier, J.
Praeger, C.
Tao, T.
de Gier, J.
Praeger, C.
Tao, T.
Advisors
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Book chapter
Citation
2016 MATRIX Annals, 2017 / Wood, D., de Gier, J., Praeger, C., Tao, T. (ed./s), vol.1, pp.43-47
Statement of Responsibility
David Michael Roberts and Raymond F. Vozzo
Conference Name
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.
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© 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.