## Geometry & Topology

### On representation varieties of $3$–manifold groups

#### Abstract

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

#### Article information

Source
Geom. Topol., Volume 21, Number 4 (2017), 1931-1968.

Dates
Revised: 31 May 2016
Accepted: 19 September 2016
First available in Project Euclid: 19 October 2017

https://projecteuclid.org/euclid.gt/1508437634

Digital Object Identifier
doi:10.2140/gt.2017.21.1931

Mathematical Reviews number (MathSciNet)
MR3654101

Zentralblatt MATH identifier
1379.57003

#### Citation

Kapovich, Michael; Millson, John. On representation varieties of $3$–manifold groups. Geom. Topol. 21 (2017), no. 4, 1931--1968. doi:10.2140/gt.2017.21.1931. https://projecteuclid.org/euclid.gt/1508437634

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