Canceling branch points and cusps on projections of knotted surfaces in 4-space

Osamu Saeki, Yasushi Takeda

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

For a knotted surface in 4-space, its generic projection into 3-space has branch points as its singularities, and its successive projection into 2-space has fold points and cusps as its singularities. In this paper, we show that for non-orientable knotted surfaces, the numbers of branch points and cusps can be minimized by isotopy.

Original languageEnglish
Pages (from-to)3097-3101
Number of pages5
JournalProceedings of the American Mathematical Society
Volume132
Issue number10
DOIs
Publication statusPublished - Oct 1 2004

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Branch Point
Cusp
Projection
Singularity
Non-orientable Surface
Isotopy
Fold

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Canceling branch points and cusps on projections of knotted surfaces in 4-space. / Saeki, Osamu; Takeda, Yasushi.

In: Proceedings of the American Mathematical Society, Vol. 132, No. 10, 01.10.2004, p. 3097-3101.

Research output: Contribution to journalArticle

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