Invariants of Stable Maps from the 3-Sphere to the Euclidean 3-Space

被引：2
|
作者：
Huamani, N. B. [1 ]
de Jesus, C. Mendes [2 ]
Palacios, J. [1 ]
机构：
[1] Inst Matemat & Ciencias Afines IMCA UNI, Calle Biologos 245, Lima 15012, Peru
[2] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2019年 / 50卷 / 04期
关键词：
Stable maps; Singular sets; Branch sets; 3-Sphere; 3-MANIFOLDS; SURFACES;
D O I：
10.1007/s00574-019-00133-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 the topological behaviour of the singular set and the singularities in the branch set that involves cuspidal curves and swallowtails that alter the singular set. We also analyse the effects of these decompositions on the global invariants with prescribed branch sets.
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页码：913 / 932
页数：20
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