Stable Maps from #n(S1xS2)to the Euclidean 3-Space

被引:0
作者
Huamani, N. B. [1 ]
de Jesus, C. Mendes [2 ]
Palacios, J. [3 ]
机构
[1] Univ Nacl San Cristobal Huamanga, Dept Matemat & Fis, Portal Independencia 57, Ayacucho, Peru
[2] Univ Fed Juiz de Fora, Dept Matemat, BR-36036900 Juiz De Fora, MG, Brazil
[3] Inst Matemat & Ciencias Afines Imca Uni, Calle Biologos 245, Lima 15012, Peru
关键词
Stable maps; singularities; singular sets; topological invariants; graphs; LOCAL INVARIANTS; 3-MANIFOLDS;
D O I
10.1007/s00009-024-02644-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a graph associated with any stable map defined from the connected sum #(n)(S(1)xS(2)) of n copies of the product S(1)xS(2) to the Euclidean 3-space. This graph has a weight on each vertex and a pair of weights on each edge, and its properties provide a necessary and sufficient condition to be the graph of a stable map defined from #(n)(S(1)xS(2)) to the Euclidean 3-space.
引用
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页数:19
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