#### Volume 21, issue 4 (2017)

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On representation varieties of $3$–manifold groups

### Michael Kapovich and John J Millson

Geometry & Topology 21 (2017) 1931–1968
##### Abstract

We prove universality theorems (“Murphy’s laws”) for representation varieties of fundamental groups of closed $3$–dimensional manifolds. We show that germs of $SL\left(2\right)$–representation schemes of such groups are essentially the same as germs of schemes over $ℚ$ of finite type.

##### Keywords
character varieties, $3$–manifold groups
##### Mathematical Subject Classification 2010
Primary: 14B12, 20F29, 57M05