素な非交代結び目の表の作成

概要

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A knot is a smooth embedding of the unit sphere S1 into R3．Two knots are said to beequivalent if there exists a homeomorphism of R3 onto itself taking one of the knots to the other． A knot is either a prime knot or a composite knot, and decomposition of a knot into prime knots is unique like integer factorization． Properties of composite knots are derived from composing prime knots． It is very useful if we have enumerated all the prime knots, and many works have been done until now．In the present, it has been enumerated up to 23 crossings for alternative knots, and 16 crossings for non-alternative knots.In this paper, we give an enumeration of prime non-alternative knots up to 20 crossings．Unfortunately, we can't remove a11 the equivalent knots from the table, our work is not complete and there may exist duplicated entries.
奈良女子大学大学院人間文化研究科の論文
2009-03-31