Canonical genus and the Whitehead doubles of pretzel knots

Details Canonical genus and the Whitehead doubles of pretzel knots Canonical genus and the Whitehead doubles of pretzel knots

2006-08-30

arxiv.org/abs/math/0608765v1

Mathematics

Geometric Topology

16 pages, 12 figures

Scientific paper

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.

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