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arxiv: 1303.6456 · v1 · pith:BHTRYWAXnew · submitted 2013-03-26 · 🧮 math.GT

L²-Alexander invariant for knots

classification 🧮 math.GT
keywords alexanderinvariantknotcomplementcomputationdealsdefaultfamily
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This paper deals with the study of a new family of knot invariants: the $L^2$-Alexander invariant. A main result is to give a method of computation of the $L^2$-Alexander invariant of a knot complement using any presentation of default 1 of the knot group.

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