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Integer homology 3-spheres admit irreducible representations in SL(2,C)

Zentner, Raphael


We prove 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). For hyperbolic integer homology spheres, this comes with the definition; for Seifert fibered integer homology spheres, this is well known. We prove that the splicing of any two nontrivial knots in S-3 admits an irreducible ...


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