Mathematics – Geometric Topology
Scientific paper
2009-12-05
Mathematics
Geometric Topology
9 pages, 6 figures
Scientific paper
We introduce new simplicial complexes by using various invariants and local
moves for knots, which give generalizations of the Gordian complex defined by
Hirasawa and Uchida. In particular, we focus on the simplicial complex defined
by using the Alexander-Conway polynomial and the Delta-move, and show that the
simplicial complex is Gromov hyperbolic and quasi-isometric to the real line.
Ichihara Kazuhiro
Jong In Dae
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