English

Quotients of Definite Periodic Knots are Definite

Geometric Topology 2018-10-04 v1

Abstract

A knot KK is definite if σ(K)=2g(K)|\sigma(K)| = 2g(K). We prove that the quotient of a definite periodic knot is definite by considering equivariant minimal genus Seifert surfaces.

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Cite

@article{arxiv.1810.01524,
  title  = {Quotients of Definite Periodic Knots are Definite},
  author = {Keegan Boyle},
  journal= {arXiv preprint arXiv:1810.01524},
  year   = {2018}
}

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2 pages