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

Raimundo N. Aráujo dos Santos; Eder L. Sanchez Quiceno

doi:10.1007/s40687-024-00424-3

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arXiv · 2011.11206

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

Raimundo N. Aráujo dos Santos·Eder L. Sanchez Quiceno

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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.

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Raimundo N. Aráujo dos Santos, Eder L. Sanchez Quiceno. 2020-11-23. On real algebraic links in the 3-sphere associated with mixed polynomials. https://doi.org/10.1007/s40687-024-00424-3

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