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

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

doi:10.1007/s00574-019-00133-4

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

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

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2 Citas (Scopus)

Resumen

In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S³ to R³, 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.

Idioma original	Inglés
Páginas (desde-hasta)	913-932
Número de páginas	20
Publicación	Bulletin of the Brazilian Mathematical Society
Volumen	50
N.º	4
DOI	https://doi.org/10.1007/s00574-019-00133-4
Estado	Publicada - 1 dic. 2019
Publicado de forma externa	Sí

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abstract = "In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 to R3, 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.",

keywords = "3-Sphere, Branch sets, Singular sets, Stable maps",

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

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AU - Huamaní, N. B.

AU - de Jesus, C. Mendes

AU - Palacios, J.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 to R3, 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.

AB - In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps from S3 to R3, 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.

KW - 3-Sphere

KW - Branch sets

KW - Singular sets

KW - Stable maps

UR - https://www.scopus.com/pages/publications/85062145111

U2 - 10.1007/s00574-019-00133-4

DO - 10.1007/s00574-019-00133-4

M3 - Artículo

AN - SCOPUS:85062145111

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VL - 50

SP - 913

EP - 932

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

IS - 4

ER -

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

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