### Knots confined to tubes in the simple cubic lattice

Ishihara, K *(Imperial College London)*

Tuesday 04 September 2012, 14:10-14:50

Seminar Room 1, Newton Institute

#### Abstract

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.