Twisted Alexander invariants of complex hypersurface complements
  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. 
Laurentiu Maxim, Kaiho Tommy Wong
math.AT