#### Vol. 276, No. 2, 2015

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Topological and physical link theory are distinct

### Alexander Coward and Joel Hass

Vol. 276 (2015), No. 2, 387–400
##### Abstract

Physical knots and links are one-dimensional submanifolds of ${ℝ}^{\mathfrak{3}}$ 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.

##### Keywords
physical knot theory, Gordian, split link
##### Mathematical Subject Classification 2010
Primary: 53A04, 57M25