Stable Maps from $\#^n(S^1\times S^2)$ to the Euclidean 3-Space

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2024年4月25日

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N. B. Huamaní,
C. Mendes de Jesus,
J. Palacios

摘要

We introduce a graph associated with any stable map defined from the connected sum $\#^n(S^1\times S^2)$ $#^{n} (S^{1} \times S^{2})$ of n copies of the product $S^1\times S^2$ $S^{1} \times S^{2}$ 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 $\#^n(S^1\times S^2)$ $#^{n} (S^{1} \times S^{2})$ to the Euclidean 3-space.

Stable Maps from \(\#^n(S^1\times S^2)\) to the Euclidean 3-Space

摘要