## The topological sliceness of 3-strand pretzel knots.(English)Zbl 1376.57010

Applying the Casson-Gordon signature invariants of double branched covers, the author proves that an odd 3-strand pretzel knot is topologically slice if and only if either it is ribbon or has trivial Alexander polynomial, and that most topologically slice even 3-strand pretzel knots must be ribbon.

### MSC:

 57M25 Knots and links in the $$3$$-sphere (MSC2010) 57N70 Cobordism and concordance in topological manifolds

### Keywords:

knot concordance; pretzel knots; Casson-Gordon invariants
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### References:

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