GRAPHS ASSOCIATED TO FOLD MAPS FROM CLOSED SURFACES TO THE PROJECTIVE PLANE

被引：0

作者：

de Jesus Sanchez, Catarina Mendes ^{[1
]}

Romero Fuster, Maria del Carmen ^{[2
]}

机构：

[1] Univ Fed Juiz de Fora, Dept Math, Via Local 880, BR-36036900 Juiz De Fora, MG, Brazil

[2] Univ Valencia, Dept Math, Calle Dr Moliner 50, Valencia 46100, Spain

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2022年 / 24卷 / 02期

关键词：

closed surface; graph; stable map; STABLE MAPS;

D O I：

10.4310/HHA.2022.v24.n2.a10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe in this paper how to attach a weighted graph to any fold map (i.e., a stable map without cusps) with planar apparent contour from a closed surface to the projective plane. Also we study necessary and sufficient conditions for a weighted graph with non negatively weighted vertices to be the graph of a fold map from a closed surface to the projective plane.

引用

页码：221 / 240

页数：20

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