- Tytuł:
- Reidemeister-type moves for surfaces in four-dimensional space
- Autorzy:
- Roseman, Dennis
- Powiązania:
- https://bibliotekanauki.pl/articles/1342427.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
knotted 3-manifolds
regular isotopy
twist-spun knots
knot moves
immersions of surfaces
knotted surfaces - Opis:
- We consider smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in $ℝ^{n+2}$ (or $S^{n+2}$), 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 version of a result of Homma and Nagase on a set of moves for regular homotopies of surfaces.
- Źródło:
-
Banach Center Publications; 1998, 42, 1; 347-380
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł