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A note on the topological sliceness of some 2-bridge knots

Published online by Cambridge University Press:  17 March 2017

ALLISON N. MILLER
ALLISON N. MILLER*
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, U.S.A. Department of Mathematics, 2515 Speedway Austin TX 78712 e-mail: [email protected]
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Abstract

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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 

References

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