2 problems

Let $f\colon\mathbb{R}^2\to\mathbb{R}$ be a Morse polynomial of degree $4$, and consider its principal part. The principal part may be non-discriminant positive definite, vanish on…

Correspondence conjecture. For any rigid isotopy class, the isotopy classes of strictly Morse polynomials contained in it are in a natural one-to-one correspondence with the extens…