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Twisted Alexander invariants of complex hypersurface complements

arXiv:1605.06961

Abstract

We define and study twisted Alexander-type invariants of complex hypersurface complements. We investigate torsion properties for the twisted Alexander modules and extend classical local-to-global divisibility results to the twisted setting. In the process, we also study the splitting fields containing the roots of the corresponding twisted Alexander polynomials.

this note corrects, generalizes and replaces arXiv:1501.06065 by the second author; comments are very welcome