Reidemeister-type moves for surfaces in four-dimensional space
Roseman, Dennis
Banach Center Publications, Tome 43 (1998), p. 347-380 / Harvested from The Polish Digital Mathematics Library
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We consider smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in ℝn+2 (or Sn+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.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:208817 
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     year = {1998},
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     language = {en},
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Roseman, Dennis. Reidemeister-type moves for surfaces in four-dimensional space. Banach Center Publications, Tome 43 (1998) pp. 347-380. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv42i1p347bwm/

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