Integer homology 3-spheres admit irreducible representations in SL(2,C)
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DOI: 10.1215/00127094-2018-0004
Abstract: 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, and… read more here.
Keywords: homology spheres; irreducible representations; admit irreducible; spheres admit ... See more keywords
Concordance, Crossing Changes, and Knots in Homology Spheres
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DOI: 10.4153/s0008439519000791
Abstract: Abstract Any knot in $S^{3}$ can be reduced to a slice knot by crossing changes. Indeed, this slice knot can be taken to be the unknot. In this paper we study the question of when… read more here.
Keywords: knots homology; slice knot; crossing changes; homology ... See more keywords