Alexander modules of irreducible $ C$-groups

DOI10.1070/IM2008V072N02ABEH002403zbMATH Open1144.14022arXivmath/0603165MaRDI QIDQ3520111

V. S. Kulikov

Publication date: 20 August 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Abstract: A complete description of the Alexander modules of knotted $n$-manifolds in the sphere $S^{n+2}$, $ngeq2$, 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 $mathbbCmathbb{P}^2$ branched respectively alone knotted $n$-manifolds and along irreducible Hurwitz (in particular, algebraic) curves.

Full work available at URL: https://arxiv.org/abs/math/0603165

zbMATH Keywords

Alexander modulesHurwitz curvesknotted manifolds

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Coverings of curves, fundamental group (14H30) Fundamental group, presentations, free differential calculus (57M05)

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