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Rational Knots, Tangles, and DNA

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Dr. L. Kauffman, UI, Chicago

What
  • Colloquium
When Thu, Nov 18, 1999
from 04:00 PM to 05:00 PM
Where RH 223
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Abstract: Rational knots are obtained by closing rational tangles, and rational tangles are a class of tangles that can be studied by direct means. In this talk we will prove a theorem that classifies rational tangles using elementary methods due to the speaker and Jay Goldman. We then classify rational knots by elementary arguments due to the speaker and Sofia Lambropoulou. We will show how this aspect of knot theory is relevant to the study of fractions, continued fractions, games with strings,and the molecular topology of DNA.

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