BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Higher-dimensional knot groups and decision problems Gordon, Cameron


An $n$-knot is a locally flat PL $n$-sphere in $S^{n+2}$. We show that many decision problems about $n$-knot groups, $n \ge 3$, and groups of closed orientable surfaces in $S^4$, are unsolvable. We will also discuss the case of 2-knots, where the corresponding questions are still open. This is joint work with Fico González-Acuña and Jonathan Simon.

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