The number of rooted essential maps on surfaces

被引：2

作者：

Liu, Wen Zhong ^{[1
]}

Liu, Yan Pei ^{[2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

[2] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 08期

关键词：

essential map; enufunction; Euler formula; Langrangian inversion;

D O I：

10.1007/s10114-008-6181-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, general functional equations of rooted essential maps on surfaces (orientable and nonorientable) are deduced and their formal solutions are presented. Further, three explicit formulae for counting essential maps on S-2, (N) over tilde (3) and (N) over tilde (4) are given. In the same time, some known results can be derived.

引用

页码：1303 / 1312

页数：10

共 5 条

[1] The number of rooted essential maps on surfaces
Wen Zhong Liu
Yan Pei Liu
Acta Mathematica Sinica, English Series, 2008, 24 : 1303 - 1312
[2] The Number of Rooted Essential Maps on Surfaces
Wen Zhong LIU Department of Mathematics
Acta Mathematica Sinica(English Series), 2008, 24 (08) : 1303 - 1312
[3] 5-essential rooted maps on N5
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UTILITAS MATHEMATICA, 2007, 72 : 51 - 64
[4] EULER FORMULA AND MAPS ON SURFACES
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[5] Elucidation of Essential Maps for 4Cs and Information-Media Literacy
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2019 10TH INTERNATIONAL CONFERENCE ON E-EDUCATION, E-BUSINESS, E-MANAGEMENT AND E-LEARNING (IC4E 2019), 2019, : 276 - 280

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