Publication: Stable Bi-Maps on Surfaces and Their Graphs
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Date
2023-05-29
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
Type
Article
Access right
Acesso aberto
Abstract
In this paper we study stable bi-maps F=(f1,f2):M→ℝ×ℝ2 from a global viewpoint, where M is a smooth closed orientable surface and f1:M→ℝ,f2:M→ℝ2 are stable maps. We associate a graph to F, so-called ℛℳ-graph and study its properties. The ℛℳ-graph captures more information about the topological structure of M than other graphs that appear in literature. Moreover, some graph realization theorems are obtained.
Description
Keywords
Language
English
Citation
Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 24, n. 2, p. 337-356, 2023.
