Holonomy perturbations and irreducible SL(2,C)-representations of homology 3-spheres

  • Date:25.04.2017
  • Speaker:Raphael Zentner
  • We prove that the splicing of any two non-trivial knots in the 3-sphere admits an irreducible SU(2)-representation of its fundamental group. Using a result of Boileau, Rubinstein and Wang, it follows that the fundamental group of any integer homology 3-sphere different from the 3-sphere admits irreducible representations of its fundamental group in SL(2,C). Our result uses instanton gauge theory.