The isotopy problem for the phase tropical line

Abstract

Let $H$ be the complex line $1+z_1+z_2=0$ in $({\mathbb{C}}^{\ast }{)}^2$ and $H_{trop}$ the associated phase tropical line. We show that $H$ and $H_{trop}$ are isotopic as topological submanifolds, by explicitly constructing an isotopy map.

References in corpus (2)

• Phase tropical hypersurfaces
• Geometry and a natural symplectic structure of phase tropical hypersurfaces