Construcción de Aplicaciones Estables de 3-variedades en ℝ3 ∗

N. B. Huamaní; Catarina M. Catarina

doi:10.5269/bspm.52610

Construcción de Aplicaciones Estables de 3-variedades en ℝ³ ∗

N. B. Huamaní, Catarina M. Catarina

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Resumen

This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ³, and a scheme using these graphs for the construction of these stable applications of S³, S¹ × S² and the related sum between them in ℝ³, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.

Idioma original	Inglés
Publicación	Boletim da Sociedade Paranaense de Matematica
Volumen	41
DOI	https://doi.org/10.5269/bspm.52610
Estado	Publicada - 2023
Publicado de forma externa	Sí

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title = "Construcci{\'o}n de Aplicaciones Estables de 3-variedades en ℝ3 ∗",

abstract = "This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ3, and a scheme using these graphs for the construction of these stable applications of S3, S1 × S2 and the related sum between them in ℝ3, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.",

keywords = "3-manifolds, 3-sphere, Stable maps, graphs with weights, singular set",

author = "Huaman{\'i}, \{N. B.\} and Catarina, \{Catarina M.\}",

note = "Publisher Copyright: {\textcopyright} Soc. Paran. de Mat.",

year = "2023",

doi = "10.5269/bspm.52610",

language = "Ingl{\'e}s",

volume = "41",

journal = "Boletim da Sociedade Paranaense de Matematica",

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AU - Catarina, Catarina M.

N1 - Publisher Copyright: © Soc. Paran. de Mat.

PY - 2023

Y1 - 2023

N2 - This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ3, and a scheme using these graphs for the construction of these stable applications of S3, S1 × S2 and the related sum between them in ℝ3, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.

AB - This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ3, and a scheme using these graphs for the construction of these stable applications of S3, S1 × S2 and the related sum between them in ℝ3, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.

KW - 3-manifolds

KW - 3-sphere

KW - Stable maps

KW - graphs with weights

KW - singular set

UR - https://www.scopus.com/pages/publications/85147127863

U2 - 10.5269/bspm.52610

DO - 10.5269/bspm.52610

M3 - Artículo

AN - SCOPUS:85147127863

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JO - Boletim da Sociedade Paranaense de Matematica

JF - Boletim da Sociedade Paranaense de Matematica