
arXiv: 1310.4976
The abstract link L_d of the complex isolated singularity x^2 + y^2 + z^2 + v^{2d} = 0 is diffeomorphic to S^3 \times S^2. We classify the embedded links of these singularities up to regular homotopies precomposed with diffeomorphisms of S^3 \times S^2. Let us denote by i_d the inclusion of L_d in S^7. We show that for arbitrary diffeomorphisms ��_d of S^3 \times S^2 with L_d the compositions i_d \circ ��_d are image regularly homotopic for two values d_1 and d_2 if and only if d_1-d_2 is even.
Local complex singularities, links of singularities, Geometric Topology (math.GT), Complex surface and hypersurface singularities, Knots and links in high dimensions (PL-topology), Mathematics - Algebraic Geometry, Mathematics - Geometric Topology, Brieskorn equations, regular homotopies, FOS: Mathematics, 32S25, Algebraic Geometry (math.AG)
Local complex singularities, links of singularities, Geometric Topology (math.GT), Complex surface and hypersurface singularities, Knots and links in high dimensions (PL-topology), Mathematics - Algebraic Geometry, Mathematics - Geometric Topology, Brieskorn equations, regular homotopies, FOS: Mathematics, 32S25, Algebraic Geometry (math.AG)
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