分野別セミナー

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.