Abstract
We give a complete characterization of the topological slice status of odd –strand pretzel knots, proving that an odd –strand pretzel knot is topologically slice if and only if it either is ribbon or has trivial Alexander polynomial. We also show that topologically slice even –strand pretzel knots, except perhaps for members of Lecuona’s exceptional family, must be ribbon. These results follow from computations of the Casson–Gordon –manifold signature invariants associated to the double branched covers of these knots.
Citation
Allison Miller. "The topological sliceness of $3$–strand pretzel knots." Algebr. Geom. Topol. 17 (5) 3057 - 3079, 2017. https://doi.org/10.2140/agt.2017.17.3057
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