Stable Maps from #n(S1×S2) to the Euclidean 3-Space

Huamaní N.B.; de Jesus C.M.; Palacios J. · Mediterranean Journal of Mathematics (2024) · DOI: 10.1007/s00009-024-02644-x

Resumen

We introduce a graph associated with any stable map defined from the connected sum #n(S1×S2) of n copies of the product S1×S2 to the Euclidean 3-space. This graph has a weight on each vertex and a pair of weights on each edge, and its properties provide a necessary and sufficient condition to be the graph of a stable map defined from #n(S1×S2) to the Euclidean 3-space. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Instituciones: Universidad Nacional de San Cristóbal de Huamanga