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2. Invariants of stable maps from the 3-sphere to the Euclidean 3-space

Author

Huamani, N. B., De Jesus, C. Mendes, and Palacios, J.

Subjects
Mathematics - Geometric Topology
Abstract

In the present work, we study the decompositions of codimension-one transitions that alter the singular set the of stable maps of $S^3$ into $\mathbb{R}^3,$ 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., Comment: 17 pages, 13 figures, 4 tables

Published
2018

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