N-Crossing Number of Knots and the Bracket Polynomial by Prof. Colin Adams

Friday, September 12, 2014 at 1:00pm to 1:45pm

Bronfman Science Center, 106 18 Hoxsey St, Williamstown, MA 01267, USA

Mathematics and Statistics Department Faculty Seminar

Abstract:  An n-crossing of a knot is a crossing with n strands passing straight through it. The n-crossing number of a knot  is the least number of n-crossings  in a projection of the knot. In work with students in the SMALL program, we generalize previous results to find a lower bound on the n-crossing number of a knot in terms of its bracket polynomial. No particular background assumed.

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Mathematics & Statistics

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