Mathematics - Florida State University

Ernst's Colloquium



Speaker: Claus Ernst.
Title: The Complexity of Knots and Links on the Cubic Lattice.
Affiliation: Western Kentucky University.
Date: Friday, November 30, 2001.
Place and Time: Room 101 - Love Building, 3:35-4:35 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.

Abstract. The cubic lattice is the graph in R^3 whose vertices consist of all points with integer coordinates and whose edges consist of line segments of unit length connecting these vertices. A lattice polygon (knot) is a simple closed curve on the cubic lattice and a lattice link consists of several disjoint lattice polygons.
    In this talk I will concentrate on the relationship between the length of the lattice knot or link and the number of crossings in a diagram. Large examples of knot and links on the cubic lattice will be presented that give us some insight in how many crossing on can generated using n steps in a lattice polygon.


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Last modified: Monday November 26th, 2001