Knot Exteriors with Additive Heegaard Genus and Morimoto’s Conjecture
نویسنده
چکیده
Given integers {gi ≥ 2}ni=1 we prove that there exists infinitely may knots Ki ⊂ S so that g(E(Ki)) = gi and g(E(# i=1 Ki) = Σ n i=1 g(E(Ki)). (Here, E(·) denotes the exterior and g(·) the Heegaard genus.) Together with [8, Theorem 1.5], this proves the existence of counterexamples to Morimoto’s Conjecture [14].
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تاریخ انتشار 2007