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The \((2,1)\)-cable of the figure-eight knot is not smoothly slice

  • Irving Dai,
  • Sungkyung Kang,
  • Abhishek Mallick,
  • JungHwan Park,
  • Matthew Stoffregen

摘要

We prove that the ( 2 , 1 ) $(2,1)$ -cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.