English

On the braid monodromy group of a polynomial in one variable

Geometric Topology 2020-08-18 v2

Abstract

It is proved that the braid monodromy group ΓP(z)\Gamma_{P(z)} of a polynomial P(z)C[z]P(z)\in\mathbb C[z], degP(z)=n\deg P(z)=n, is the braid group Brn\text{Br}_n if the polynomial P(z)P(z) has n1n-1 distinct critical values.

Keywords

Cite

@article{arxiv.2008.05187,
  title  = {On the braid monodromy group of a polynomial in one variable},
  author = {Vik. S. Kulikov},
  journal= {arXiv preprint arXiv:2008.05187},
  year   = {2020}
}

Comments

7 pages, Fig. 2 is corrected

R2 v1 2026-06-23T17:48:04.267Z