4 problems

Invariant agreement conjecture. For $\b7$-Brunnian embedded links, Koschorke's $\b7_\b7(f)$ coincides up to sign with $\b7(\b7(1),\ldots,\b7(d-1),d)$.

$k$-repeating higher-order Arf conjecture. The map $\mathrm{Arf}^k_j$ is an isomorphism for all $k$ and $j$. This is the $k$-repeating analogue of the higher-order Arf invariant co…

Let $m$ be a positive integer and let $d>3$. Consider the space of link maps … A product of Milnor invariants of type $n$ gives, via configuration-space integrals, a generalized Mi…

Milnor-invariant conjecture. One should have