Simon-type conjecture for knot exteriors in rational homology spheres
Simon-type conjecture for knot exteriors in rational homology spheres
Let be a knot exterior in a closed orientable -manifold such that . Simon-type knot-exterior conjecture. Then surjects onto only finitely many groups , where each is a knot exterior satisfying . This is presented as another natural extension of Simon's conjecture; the supplied text provides no proof or resolution, so the assertion remains open.
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Primary source
Michel Boileau, Steve Boyer, Alan W. Reid and Shicheng Wang, “Simon's conjecture for 2-bridge knots”, arXiv:0903.2898 (2009).
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