Speaker
Şeyma Karadereli
(Bogazici University)
Description
A real algebraic link in the 3-sphere is defined as the zero locus in the 3-sphere of a real algebraic function from $\mathbb{R}^4 \to \mathbb{R}^2$ 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. In this talk, I will present our recent result which proves that every overtwisted contact structure on the 3-sphere with positive three-dimensional invariant $d_3$ are real algebraic with the
pages of the associated open books being planar.
Affiliation
Bogazici University
Author
Şeyma Karadereli
(Bogazici University)
Co-author
Prof.
Ferit Öztürk
(Bogazici University)