Mahler Measure , Links and Homology Growth
نویسندگان
چکیده
Let l be an oriented link of d components with nonzero Alexander polynomial ∆(u1, . . . , ud). Let Λ be a finite-index subgroup of H1(S− l) ∼= Z, and let MΛ be the corresponding abelian cover of S branched along l. The growth rate of the order of the torsion subgroup of H1(MΛ), as a suitable measure of Λ approaches infinity, is equal to the Mahler measure of ∆.
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