Topological and physical knot theory are distinct

Details Topological and physical knot theory are distinct Topological and physical knot theory are distinct

2012-03-19

arxiv.org/abs/1203.4019v1

Mathematics

Geometric Topology

8 page, 6 figures

Scientific paper

Physical knots and links are one-dimensional submanifolds of R^3 with fixed
length and thickness. We show that isotopy classes in this category can differ
from those of classical knot and link theory. In particular we exhibit a
Gordian Split Link, a two component link that is split in the classical theory
but cannot be split with a physical isotopy.

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