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

Fuente: arXiv
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Auteurs principaux: Santos, Raimundo N. Aráujo dos, Quiceno, Eder L. Sanchez
Format: Preprint
Publié: 2020
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author Santos, Raimundo N. Aráujo dos
Quiceno, Eder L. Sanchez
author_facet Santos, Raimundo N. Aráujo dos
Quiceno, Eder L. Sanchez
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2011_11206
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle On real algebraic links in the 3-sphere associated with mixed polynomials
Santos, Raimundo N. Aráujo dos
Quiceno, Eder L. Sanchez
Geometric Topology
Primary 32S55, 57M25, Secondary 14M25, 14P05, 14P15, 14P25, 32S05
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.
title On real algebraic links in the 3-sphere associated with mixed polynomials
topic Geometric Topology
Primary 32S55, 57M25, Secondary 14M25, 14P05, 14P15, 14P25, 32S05
url https://arxiv.org/abs/2011.11206