Year: 2025
Type: article
Abstract: A real algebraic link in the 3-sphere is defined as the zero locus in the 3-sphere of a real algebraic function from R 4 to R 2 with an isolated singularity at the origin.A real algebraic open book decomposition on the 3-sphere is by definition the Milnor fibration of such a real algebraic function.We prove that every overtwisted contact structure on the 3-sphere with positive three-dimensional invariant d 3 (apart from 13 exceptions) are real algebraic via functions of the form f N g with f; g complex algebraic and with the pages of the associated open books planar.
Source: Algebraic & Geometric Topology
Authors: Şeyma Karadereli, Ferit Öztürk
Institution: Boğaziçi University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4411625123