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PreprintCC0arXiv

Fox-Milnor condition for concordant knots in homology 3-spheres

  • Huu-Bao Vuong
Open at sourcePDFDOICite

Abstract

This paper will show that the Alexander polynomial of a knot, which is of slice type in an oriented homology 3-sphere, obeys the Fox-Milnor polynomial condition. A relation between Alexander polynomial of concordant knots in an oriented homology 3-sphere is established.

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Cite

BibTeXRIS
BibTeX
@misc{vuong2026foxmilnor,
  title = {{Fox-Milnor condition for concordant knots in homology 3-spheres}},
  author = {Huu-Bao Vuong},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.07039},
  eprint = {2608.07039},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.07039},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Fox-Milnor condition for concordant knots in homology 3-spheres
AU  - Huu-Bao Vuong
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2608.07039
UR  - https://arxiv.org/abs/2608.07039
AB  - This paper will show that the Alexander polynomial of a knot, which is of slice type in an oriented homology 3-sphere, obeys the Fox-Milnor polynomial condition. A relation between Alexander polynomial of concordant knots in an oriented homology 3-sphere is established.
ER  -