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arxiv: 1512.08414 · v1 · pith:X5Z3FFA3new · submitted 2015-12-28 · 🧮 math.GT

Knot concordances and alternating knots

classification 🧮 math.GT
keywords knotsubgroupalternatingelementpropertyrepresentedconcordanceconcordances
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There is an infinitely generated free subgroup of the smooth knot concordance group with the property that no nontrivial element in this subgroup can be represented by an alternating knot. This subgroup has the further property that every element is represented by a topologically slice knot.

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