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math.GTMar 1, 2013
23
citations (OpenAlex)
authors
  • John J. Millson
  • Michael Kapovich
institutions
  • Korea Institute for Advanced Study
  • University of California, Davis
  • University of Maryland, College Park
arXiv abstractPDF
paper

On representation varieties of 3-manifold groups

arXiv:1303.2347 · doi:10.2140/gt.2017.21.1931

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.

28 pages

References in corpus (1)

  • Telescopic actions

Cited by in corpus (11)

  • Fundamental Groups of Character Varieties: Surfaces and Tori
  • A sheaf-theoretic model for SL(2,C) Floer homology
  • Character Varieties of Free Groups are Gorenstein but not always Factorial
  • Kauffman bracket skein modules of small 3-manifolds
  • Constructing convex projective 3-manifolds with generalized cusps
  • The SL(2,C) Casson invariant for knots and the A-polynomial
  • Bad irreducible subgroups and singular locus for character varieties in PSL(p,C)
  • Uniformization of compact complex manifolds by Anosov representations
  • Volumes of SLn​C-representations of hyperbolic 3-manifolds
  • On the sheaf-theoretic SL(2,C) Casson-Lin invariant
  • Centralizers of irreducible subgroups in the projective special linear group
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