Proves irreducible SU(2) representations for 3-surgery knots.
arXiv research
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We show there exists a linear function w: N->N with the following property. Let K be a hyperbolic knot in a hyperbolic 3-manifold M admitting a non-longitudinal S^3 surgery. If K is put into thin position with respect to a strongly irreducible, genus g Heegaard splitting of M then K intersects a thick level at most 2w(…
Berge introduced knots that are primitive/primitive with respect to the genus 2 Heegaard surface, , in ; surgery on such knots at the surface slope yields a lens space. Later Dean described a similar class of knots that are primitive/Seifert with respect to ; surgery on these knots at the surface slope yield…
Formula established for instanton homology of dual knots.