Stable Maps from #n(S1×S2) to the Euclidean 3-Space

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

doi:10.1007/s00009-024-02644-x

Stable Maps from #n(S1×S2) to the Euclidean 3-Space

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

Universidad Nacional de San Cristóbal de Huamanga
Universidade Federal de Juiz de Fora
Instituto de Matemática y Ciencias Afines

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Resumen

We introduce a graph associated with any stable map defined from the connected sum #ⁿ(S¹×S²) of n copies of the product S¹×S² 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(S¹×S²) to the Euclidean 3-space.

Idioma original	Inglés
Número de artículo	100
Publicación	Mediterranean Journal of Mathematics
Volumen	21
N.º	3
DOI	https://doi.org/10.1007/s00009-024-02644-x
Estado	Publicada - may. 2024
Publicado de forma externa	Sí

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title = "Stable Maps from \#n(S1{\texttimes}S2) to the Euclidean 3-Space",

abstract = "We introduce a graph associated with any stable map defined from the connected sum \#n(S1{\texttimes}S2) of n copies of the product S1{\texttimes}S2 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(S1{\texttimes}S2) to the Euclidean 3-space.",

keywords = "58K60, 58K65, Primary 57R45, Secondary 58K15, Stable maps, graphs, singular sets, singularities, topological invariants",

author = "Huaman{\'i}, \{N. B.\} and \{de Jesus\}, \{C. Mendes\} and J. Palacios",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.",

year = "2024",

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doi = "10.1007/s00009-024-02644-x",

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T1 - Stable Maps from #n(S1×S2) to the Euclidean 3-Space

AU - Huamaní, N. B.

AU - de Jesus, C. Mendes

AU - Palacios, J.

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

PY - 2024/5

Y1 - 2024/5

N2 - We introduce a graph associated with any stable map defined from the connected sum #n(S1×S2) of n copies of the product S1×S2 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(S1×S2) to the Euclidean 3-space.

AB - We introduce a graph associated with any stable map defined from the connected sum #n(S1×S2) of n copies of the product S1×S2 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(S1×S2) to the Euclidean 3-space.

KW - 58K60

KW - 58K65

KW - Primary 57R45

KW - Secondary 58K15

KW - Stable maps

KW - graphs

KW - singular sets

KW - singularities

KW - topological invariants

UR - https://www.scopus.com/pages/publications/85191345365

U2 - 10.1007/s00009-024-02644-x

DO - 10.1007/s00009-024-02644-x

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SN - 1660-5446

VL - 21

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

M1 - 100

ER -

Stable Maps from #n(S1×S2) to the Euclidean 3-Space

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