Abstract

Given a homomorphism from a link group to a group, we introduce a K1-class, which is a generalization of the 1-variable Alexander polynomial. We compare the K1-class with K1-classes in [20] and with Reidemeister torsions. As a corollary, we show a relation to Reidemeister torsions of finite cyclic covering spaces, and show reciprocity in some senses.

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