Revista Integración, temas de matemáticas.
Vol. 39 No. 1 (2021): Revista integración, temas de matemáticas
Research and Innovation Articles

Weighted graphs and stable maps of 3-manifolds in R 3.

Nelson B. Huamaní
Universidad Nacional de San Cristóbal de Huamanga
Catarina Mendes de Jesús
Universidade Federal de Juiz de Fora

Published 2021-05-19

Keywords

  • Stable maps,
  • singular set,
  • weighted graphs,
  • 3-manifolds,
  • 3-sphere

How to Cite

Huamaní, N. B., & Mendes de Jesús, C. (2021). Weighted graphs and stable maps of 3-manifolds in R 3. Revista Integración, Temas De matemáticas, 39(1), 109–128. https://doi.org/10.18273/revint.v39n1-2021008

Abstract

In this paper we study the space of graphs with weights together with two operations between these graphs. The results found in this space are used in the study of stable maps of 3-manifolds in R3, in particular when the 3-manifold is Mn, where this manifold is the connected sum of n-copies of S1× Swith M0 = S3. In addition, important results are proven for the construction of this type of maps.

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