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

Universidad Nacional de Ingeniería, Peru
Universidade Federal de Viçosa

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	913-932
Number of pages	20
Journal	Bulletin of the Brazilian Mathematical Society
Volume	50
Issue number	4
DOIs	https://doi.org/10.1007/s00574-019-00133-4
State	Published - 1 Dec 2019
Externally published	Yes

Keywords

3-Sphere
Branch sets
Singular sets
Stable maps

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10.1007/s00574-019-00133-4

Cite this

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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",

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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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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

Abstract

Keywords

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