# Doubly slice knots and metabelian obstructions

@article{Orson2019DoublySK, title={Doubly slice knots and metabelian obstructions}, author={Patrick Orson and Mark Powell}, journal={arXiv: Geometric Topology}, year={2019} }

For $\ell >1$, we develop $L^{(2)}$-signature obstructions for $(4\ell-3)$-dimensional knots with metabelian knot groups to be doubly slice. For each $\ell>1$, we construct an infinite family of knots on which our obstructions are non-zero, but for which double sliceness is not obstructed by any previously known invariant.

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