English

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

Geometric Topology 2015-07-08 v1

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.

Keywords

Cite

@article{arxiv.1507.01616,
  title  = {A note on the topological sliceness of some 2-bridge knots},
  author = {Allison N. Miller},
  journal= {arXiv preprint arXiv:1507.01616},
  year   = {2015}
}

Comments

7 pages