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On
representation varieties of $3$–manifold groups
Michael Kapovich and John J Millson |
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Geometry & Topology 21 (2017) 1931–1968
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Abstract |
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We prove universality theorems (“Murphy’s laws”) for representation varieties of fundamental groups of closed –dimensional manifolds. We show that germs of –representation schemes of such groups are essentially the same as germs of schemes over of finite type. |
Keywords
character varieties, $3$–manifold groups
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Mathematical Subject Classification 2010
Primary: 14B12, 20F29, 57M05
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References |
Publication
Received: 13 September 2013
Revised: 31 May 2016
Accepted: 19 September 2016
Published: 19 May 2017
Proposed: Walter Neumann
Seconded: Ciprian Manolescu, Bruce Kleiner
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Authors |
| Michael Kapovich | |
| Department of Mathematics University of California, Davis 1 Shields Ave Davis, CA 95616 United States |
Korea Institute for Advanced
Study 207-43 Cheongnyangri-dong, Dongdaemun-gu, Seoul, South Korea |
| http://www.math.ucdavis.edu/~kapovich | |
| John J Millson | |
| Department of Mathematics University of Maryland, College Park College Park, MD 20742 United States |
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| http://www.math.umd.edu/~millson | |
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