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Algebraic links in lens spaces.

Authors :
Horvat, Eva
Source :
Communications in Contemporary Mathematics. Oct2021, Vol. 23 Issue 7, p1-16. 16p.
Publication Year :
2021

Abstract

The lens space L p , q is the orbit space of a ℤ p -action on the 3-sphere. We investigate polynomials of two complex variables that are invariant under this action, and thus define links in L p , q . We study properties of these links, and their relationship with the classical algebraic links. We prove that all algebraic links in lens spaces are fibered, and obtain results about their Seifert genus. We find some examples of algebraic knots in L p , q , whose lift in the 3 -sphere is a torus link. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02191997
Volume :
23
Issue :
7
Database :
Academic Search Index
Journal :
Communications in Contemporary Mathematics
Publication Type :
Academic Journal
Accession number :
153175435
Full Text :
https://doi.org/10.1142/S0219199720500662