A family of Andrews-Curtis trivializations via 4-manifold trisections

Ethan Romary, Alexander Zupan

An R-link is an $n$-component link $L$ in $S^3$ such that Dehn surgery on $L$ yields ${\#}^n(S^1\times S^2)$. Every R-link $L$ gives rise to a geometrically simply-connected homotop…