Institute of Mathematics for Industry

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Real algebraic links in $S^3$


Hold Date 2020-01-24 16:00~2020-01-24 17:00

Place Lecture Room S W1-C-514, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Benjamin Bode (Osaka University)

Abstract:
A link $L$ is \textit{real algebraic} if there is a polynomial map $f:\mathbb{R}^4\to\mathbb{R}^2$ with an isolated singularity at the origin such that the intersection $f^{-1}(0)\cap S^3_{\rho}$ is ambient isotopic to $L$ for all 3-spheres around the origin of small enough radius $\rho>0$. Real algebraic links are not as well studied as their complex counterparts. In particular, it is not known which links are real algebraic. In this talk, I am going to discuss different constructions of real algebraic links.