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Higher-dimensional knot groups and decision problems

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Gordon, Cameron

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Higher-dimensional knot groups and decision problems
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17
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
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Abstract
An n-knot is a locally flat PL n-sphere in Sn+2. We show that many decision problems about n-knot groups, n≥3, and groups of closed orientable surfaces in S4, 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.