English

On real algebraic links in the 3-sphere associated with mixed polynomials

Geometric Topology 2025-02-19 v4

Abstract

In this paper we construct new classes of mixed singularities that provide realizations of real algebraic links in the 33-sphere. Classifications and characterizations of real algebraic links are still open. These new classes of mixed singularities may help to shed light on the Benedetti-Shiota conjecture, which state that any fibered link on the 33-sphere is a real algebraic link.

Cite

@article{arxiv.2011.11206,
  title  = {On real algebraic links in the 3-sphere associated with mixed polynomials},
  author = {Raimundo N. Aráujo dos Santos and Eder L. Sanchez Quiceno},
  journal= {arXiv preprint arXiv:2011.11206},
  year   = {2025}
}

Comments

19 pages, 4 figures

R2 v1 2026-06-23T20:26:08.875Z