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Knots confined to tubes in the simple cubic lattice

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Topological Dynamics in the Physical and Biological Sciences

Here a polymer is modeled as a self-avoiding polygon in the simple cubic lattice. All knots can be confined to a slab, which is an area bounded by two parallel planes. However not all knots can be constructed in a tube, which is an area bounded by two pairs of parallel planes.

In this talk, we discuss knots and links in a tube and estimate the minimum length required for such a polygon to realize a knot type.

This talk is part of the Isaac Newton Institute Seminar Series series.

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