pith. sign in

arxiv: math/0603165 · v1 · submitted 2006-03-07 · 🧮 math.SG · math.GR

Alexander modules of irreducible C-groups

classification 🧮 math.SG math.GR
keywords irreduciblealexandercurvesdescriptiongroupshurwitzknottedmanifolds
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.