arXiv subjects

Jacqueline Jensen

Publications and source records attributed to Jacqueline Jensen.

2 recordsLinked to original sources

arXiv2006

Families of knots for which Morton's inequality is strict

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 families build upon examples first found by Stoimenow.

math.GT↗

arXiv2006

Canonical genus and the Whitehead doubles of pretzel knots

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 case of these knots.

math.GT↗