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arxiv: math/0608765 · v1 · submitted 2006-08-30 · 🧮 math.GT

Canonical genus and the Whitehead doubles of pretzel knots

classification 🧮 math.GT
keywords canonicaldoublesknotspretzelwhiteheadalternatingcaseconjecture
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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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