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(2,1)-缆绳八字结不是光滑slice的

几何拓扑 2024-09-04 v2

作者: Irving Dai , Sungkyung Kang , Abhishek Mallick , JungHwan Park , Matthew Stoffregen

在 arXiv 上查看 ↗ PDF ↗

摘要

我们证明(2,1)-缆绳八字结不是光滑slice的，方法是证明其分支二重覆盖不边界任何等变同调球。

关键词

八字节 (2,1)-缆绳光滑slice 分支二重覆盖等变同调球

引用

@article{arxiv.2207.14187,
  title  = {The $(2,1)$-cable of the figure-eight knot is not smoothly slice},
  author = {Irving Dai and Sungkyung Kang and Abhishek Mallick and JungHwan Park and Matthew Stoffregen},
  journal= {arXiv preprint arXiv:2207.14187},
  year   = {2024}
}

备注

14 pages; 5 figures. Final version; to appear in Inventiones Mathematicae