Whitney umbrellas and swallowtails
Geometric Topology
2018-06-25 v1 Differential Geometry
Abstract
In this paper, we introduce the notions of map-germs of pedal unfolding type and normalized Legendrian map-germs; and then we show that the fundamental theorem of calculus provides a natural one to one correspondence between Whitney umbrellas of pedal unfolding type and normalized swallowtails.
Cite
@article{arxiv.1112.5011,
title = {Whitney umbrellas and swallowtails},
author = {Takashi Nishimura},
journal= {arXiv preprint arXiv:1112.5011},
year = {2018}
}