Knot Theory and Manifolds pp 146-159
Positive knots have positive Conway polynomials
- Cite this paper as:
- Van Buskirk J.M. (1985) Positive knots have positive Conway polynomials. In: Rolfsen D. (eds) Knot Theory and Manifolds. Lecture Notes in Mathematics, vol 1144. Springer, Berlin, Heidelberg
This note concerns knots which are positive in the sense that they are closures of positive words in the classical braid generators. Such knots are known to be fibred, non-slice and non-amphicheiral. Recursive knot-theoretic methods of J.H. Conway yield criteria sufficiently restrictive to settle the question of positivity for all save four of the 249 knots on ten or fewer crossings and provide alternate proofs for classical and recent results on positive knots.
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