4 citations · 10 across the 5 of their papers we have counts for
Showing 2006 · math.GTShow all
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math.GT2006★ 4 cited
Canonical genus and the Whitehead doubles of pretzel knots
Mark Brittenham, Jacqueline Jensen
We show that for an alternating pretzel knot K the canonical genera of its Whitehead doubles W(K) are equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the…
math.GT2006
Families of knots for which Morton's inequality is strict
Mark Brittenham, Jacqueline Jensen
We describe a procedure for creating infinite families of knots, each having the maximum degree of their HOMFLY polynomial strictly less than twice their canonical genus. These fam…
math.GT2006★ 2 cited
The Heegaard genus of bundles over S^1
Mark Brittenham, Yo'av Rieck
This paper explores connections between Heegaard genus, minimal surfaces, and pseudo-Anosov monodromies. Fixing a pseudo-Anosov map phi and an integer n, let M_n be the 3-manifold…