2006/03/07 by Вик. С. Куликов, Vik. S. Kulikov, Kulikov, Vik. S.
Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.GR #math.SG
paper · pdf · doi:10.48550/arxiv.math/0603165
44 pages
arxiv created 2006/03/07 · openalex publication_date 2006/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A complete description of the Alexander modules of knotted n-manifolds in the sphere Sn+2, n≥ 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 Sn+2 and the projective complex plane \mathbb C\mathbb P2 branched respectively alone knotted n-manifolds and along irreducible Hurwitz (in particular, algebraic) curves.