3 problems

Three-component connectivity conjecture. The map $l_3$ is $(3n-\max\{2p_1+p_2+p_3,p_1+2p_2+p_3,p_1+p_2+2p_3\}-5)$-connected.

Connectivity conjecture. The map $l_2$ is $(2n-\max\{2p+q,2q+p\}-3)$-connected.

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…