Grafos como invariantes topológicos

Authors

  • Catarina Mendes de Jesus Sánchez
  • Esther Sanabria-Codesal

DOI:

https://doi.org/10.5540/03.2023.010.01.0059

Keywords:

Grafos, Singularidades, Superfícies, Topologia

Abstract

Neste trabalho apresentamos vários exemplos de como os grafos podem ser vistos como invariantes de aplicações entre variedades o que os torna uma ferramenta útil para a clasificação destas aplicações.

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Author Biographies

Catarina Mendes de Jesus Sánchez

UFJF

Esther Sanabria-Codesal

Universitat Politècnica de València

References

S. Demoto. “Stable maps between 2-spheres with a connected fold curve”. Em: Hiroshima Mathematical Journal 35 (2005), pp. 93–113.

D. Hacon, C. Mendes de Jesus e M. C. Romero Fuster. “Fold maps from the sphere to the plane”. Em: Experimental Mathematics 15.4 (2006), pp. 491–497.

D. Hacon, C. Mendes de Jesus e M. C. Romero-Fuster. “Graphs of stable maps from closed orientable surfaces to the 2-sphere”. Em: Journal of Singularities 2 (2010), pp. 67–80.

D. Hacon, C. Mendes de Jesus e M. C. Romero-Fuster. “Stable maps from surfaces to the plane with prescribed branching data”. Em: Topology and Its Applications 154 (2007), pp. 166–175. doi: 10.1016/j.topol.2006.04.005.

D. Hacon, C. Mendes de Jesus e M. C. Romero-Fuster. “Topological invariants of stable maps from a surface to the plane from a global viewpoint”. Em: Real and complex singularities. CRC Press, 2003, pp. 227–235.

C. Mendes de Jesus. “Graphs of stable maps between closed orientable surfaces”. Em: Comp. Appl. Math. 2 (2017), pp. 1185–1194. doi: 10.1007/s40314-016-0317-9.

T. Ohmoto e F. Aicardi. “First order local invariants of apparent contours”. Em: Topology 45.1 (2006), pp. 27–45. doi: 10.1016/j.top.2005.04.005.

H. Whitney. “On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane”. Em: Annals of Mathematics (1955), pp. 374–410.

Published

2023-12-18

Issue

Section

Trabalhos Completos