Construcción de aplicaciones estables de $3$-variedades en $\mathbb{R}^3$

Abstract

This paper presents some graphs with weights, associated with the maps of $3$-varieties in $\mathbb{R}^3$, and a scheme using these graphs for the construction of these stable applications of $S^3$, $S^1 \times S^2$ and the related sum between them in $\mathbb{R}^3$, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.