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

Abstract

In this paper we construct new classes of mixed singularities that provide realizations of real algebraic links in the $3$-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 $3$-sphere is a real algebraic link.

19 pages, 4 figures

References in corpus (1)

• Twisting and satellite operations on P-fibered braids

Cited by in corpus (2)

• Links of singularities of inner non-degenerate mixed functions
• Inner and Partial non-degeneracy of mixed functions