Twisted Alexander invariants of complex hypersurface complements
Laurentiu Maxim, Kaiho Tommy Wong
TL;DR
This paper introduces twisted Alexander invariants for complex hypersurface complements, exploring their algebraic properties, divisibility relations, and the roots of associated polynomials, extending classical results to a twisted context.
Contribution
It defines twisted Alexander invariants for complex hypersurface complements and extends classical divisibility results to this new setting.
Findings
Analyzed torsion properties of twisted Alexander modules
Extended local-to-global divisibility results to twisted invariants
Studied splitting fields of twisted Alexander polynomials
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.
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