On real algebraic links in the 3-sphere associated with mixed polynomials
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866912234273243136 |
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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 |