Rapport sur la théorie classique des noeuds (1ère partie)
Reidemeister-type moves for surfaces in four-dimensional space
We consider smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in (or ), for the cases n=2 or n=3. In a previous paper we have generalized the notion of the Reidemeister moves of classical knot theory. In this paper we examine in more detail the above mentioned dimensions. Examples are given; in particular we examine projections of twist-spun knots. Knot moves are given which demonstrate the triviality of the 1-twist spun trefoil. Another application is a smooth...
Remark on the equisingularity of families of affine plane curves
We give some criteria for the equisingularity of families of affine plane curves.
Rotational Symmetry: Basic Properties and Application to Knot Manifolds.