Geometric intersections of loops on surfaces

被引:0
|
作者
Gu, Ying [1 ]
Zhao, Xuezhi [2 ]
机构
[1] Beijing Union Univ, Inst Math & Phys, Beijing 100101, Peoples R China
[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
关键词
Loops on surfaces; Geometric intersections; Grobner-Shirshov basis; SELF-INTERSECTIONS; WINDING NUMBERS; SIMPLE CURVES; ALGORITHM; GEODESICS;
D O I
10.1016/j.topol.2022.108205
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Based on Nielsen fixed point theory and Grobner-Shirshov basis, we obtain a simple approach to compute geometric intersection numbers and self-intersection geometric numbers of loops on surfaces. (C) 2022 Elsevier B.V. All rights reserved.
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页数:23
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