Links of singularities up to regular homotopy
Katanaga, Atsuko · Némethi, András · Szűcs, András
Original · EN
The abstract link Ld of the complex isolated singularity x² + y² + z² + v²ᵈ = 0 is diffeomorphic to S³ × S². We classify the embedded links of these singularities up to regular homotopies precomposed with diffeomorphisms of S³ × S². Let us denote by id the inclusion of Ld in S⁷. We show that for arbitrary diffeomorphisms φd of S³ × S² with Ld the compositions id ∘ φd are image regularly homotopic for two values d₁ and d₂ if and only if d₁-d₂ is even.
English translation
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