most citedExotic relation modules and homotopy types for certain 1-relator groups

17 citations · 21 across the 3 of their papers we have counts for

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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…