Alexander modules of irreducible $C$-groups

Details Alexander modules of irreducible $C$-groups Alexander modules of irreducible $C$-groups

2006-03-07

arxiv.org/abs/math/0603165v1

Mathematics

Symplectic Geometry

44 pages

Scientific paper

A complete description of the Alexander modules of knotted $n$-manifolds in the sphere $S^{n+2}$, $n\geq 2$, 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.

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