Trevor Oliveira-Smith

collaborators

2 papers

math.GT2026

A Dunfield--Gong 4-Sphere is Standard

Trevor Oliveira-Smith

In this paper, we standardize a homotopy $4$ -sphere constructed by Dunfield and Gong. As a corollary, we show that the $18$ -crossing knot $1 8_{nh 00000601}$ , which is not kno…

math.GT2026

A homological generalized Property R conjecture is false

Tye Lidman, Trevor Oliveira-Smith, Alexander Zupan

The generalized Property R conjecture (GPRC) predicts that if framed surgery on an $n$ -component link $L$ in $S^{3}$ produces $#^{n} (S^{1} \times S^{2})$ , then $L$ is handleslide equiva…