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Instantons, concordance, and whitehead doubling

Matthew Hedden Indiana University Paul Kirk Michigan State University

Differential Geometry mathscidoc:1609.10272

Journal of Differential Geometry, 91, (2), 281-319, 2012
We use moduli spaces of instantons and Chern-Simons invariants of flat connections to prove that the Whitehead doubles of (2, 2n − 1) torus knots are independent in the smooth knot concordance group; that is, they freely generate a subgroup of infinite rank. 1.
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@inproceedings{matthew2012instantons,,
  title={INSTANTONS, CONCORDANCE, AND WHITEHEAD DOUBLING},
  author={Matthew Hedden, and Paul Kirk},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160913230423078657934},
  booktitle={Journal of Differential Geometry},
  volume={91},
  number={2},
  pages={281-319},
  year={2012},
}
Matthew Hedden, and Paul Kirk. INSTANTONS, CONCORDANCE, AND WHITEHEAD DOUBLING. 2012. Vol. 91. In Journal of Differential Geometry. pp.281-319. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160913230423078657934.
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