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arxiv: 1505.02841 · v1 · pith:RQ656WBUnew · submitted 2015-05-12 · 🧮 math.GT

A homological representation formula of colored Alexander invariants

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keywords formularepresentationalexandercoloredhomologicalbraidburaucall
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We give a formula of the colored Alexander invariant in terms of the homological representation of the braid groups which we call truncated Lawrence's representation. This formula generalizes the famous Burau representation formula of the Alexander polynomial.

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