English

On representation varieties of 3-manifold groups

Geometric Topology 2017-06-14 v2 Algebraic Geometry Group Theory

Abstract

We prove universality theorems ("Murphy's Laws") for representation schemes of fundamental groups of closed 3-dimensional manifolds. We show that germs of SL(2,C)-representation schemes of such groups are essentially the same as germs of schemes of over rational numbers.

Keywords

Cite

@article{arxiv.1303.2347,
  title  = {On representation varieties of 3-manifold groups},
  author = {John J. Millson and Michael Kapovich},
  journal= {arXiv preprint arXiv:1303.2347},
  year   = {2017}
}

Comments

28 pages

R2 v1 2026-06-21T23:39:35.129Z