2 problems

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Conant's universality conjecture for the Goodwillie-Weiss knot tower
Let $\hat{\mathcal{K}}$ be the space of long knots, and let $T_k\hat{\mathcal{K}}$ denote the $k$ th stage of its Goodwillie-Weiss polynomial tower. The map … is a finite type-…
Conjectureopenfinite-type-invariants goodwillie-weiss-calculus knot-theoryarXiv posted 2 days ago
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The Goodwillie–Weiss truncation homotopy conjecture for string links
Goodwillie--Weiss truncation homotopy conjecture. If $d-\max\{m_i\mid 1\leq i\leq r\}>2$ , then
Conjectureopengoodwillie-weiss-calculus rational-homotopy string-linksarXiv posted 2 days ago

Conant's universality conjecture for the Goodwillie-Weiss knot tower