Alexander modules of irreducible $C$-groups

Abstract

A complete description of the Alexander modules of knotted $n$-manifolds in the sphere $S^{n+2}$, $n\ge 2$, and irreducible Hurwitz curves is given. This description is applied to investigate properties of the first homology groups of cyclic coverings of the sphere $S^{n+2}$ and the projective complex plane $\mathbb{C}{\mathbb{P}}^2$ branched respectively alone knotted $n$-manifolds and along irreducible Hurwitz (in particular, algebraic) curves.

44 pages

References in corpus (2)

• On the fundamental groups of the complements of Hurwitz curves
• On the Alexander polynomials of Hurwitz curves