Title:Isotopy classification of Morse polynomials of degree 3 in ${\mathbb R}^3$

Abstract:We enumerate all isotopy classes of Morse polynomials ${\mathbb R}^3 \to {\mathbb R}^1$ of degree three with non-singular principal homogeneous part, in particular prove that there are exactly 37 of them. We also count all 2258 isotopy classes of {\em strictly} Morse polynomials ${\mathbb R}^3 \to {\mathbb R}^1$ of degree three with the maximal (equal to eight) number of real critical points.
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