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A note on the topological sliceness of some 2-bridge knots
Published online by Cambridge University Press: 17 March 2017
Abstract
We use twisted Alexander polynomials to show that certain algebraically slice 2-bridge knots are not topologically slice, even though all prime power Casson–Gordon signatures vanish. We also provide some computations indicating the efficacy of Casson–Gordon signatures in obstructing the smooth sliceness of 2-bridge knots.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 164 , Issue 1 , January 2018 , pp. 185 - 191
- Copyright
- Copyright © Cambridge Philosophical Society 2017
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