Positive Twist Knots and the Uniform ˜ickness Property · Department of Mathematics and Statistics...

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Department of Mathematics and Statistics In 2007, Etnyre and Honda defined a new knot invariant called the Uniform Thickness Property in order to better understand Legend- rian knots. The classification of Legendrian knots in R 3 with the standard contact structure has been a slow process in comparison to the topological classification. In this talk, we will discuss what makes Legendrian knots more delicate than topological knots and how the Uniform Thickness Property can help in their classification. My current research investigates the Uniform Thickness Property with respect to positive twist knots which we will discuss in the second half of the talk. Refreshments 4:15 Talk 4:30 COLLOQUIUM Positive Twist Knots and the Uniform ickness Property Whitney George West Chester University TUESDAY, SEPTEMBER 17 SCIENCE CENTER 199 DEPARTMENT OF MATHEMATICS AND STATISTICS • SWARTHMORE COLLEGE

Transcript of Positive Twist Knots and the Uniform ˜ickness Property · Department of Mathematics and Statistics...

Page 1: Positive Twist Knots and the Uniform ˜ickness Property · Department of Mathematics and Statistics In 2007, Etnyre and Honda defined a new knot invariant called the Uniform Thickness

Department of Mathematics and Statistics

In 2007, Etnyre and Honda defined a new knot invariant called the Uniform Thickness Property in order to better understand Legend-rian knots. The classification of Legendrian knots in R3 with the standard contact structure has been a slow process in comparison to the topological classification. In this talk, we will discuss what makes Legendrian knots more delicate than topological knots and how the Uniform Thickness Property can help in their classification. My current research investigates the Uniform Thickness Property with respect to positive twist knots which we will discuss in the second half of the talk.

Refreshments 4:15Talk 4:30

COLLOQUIUM

Positive Twist Knots and the Uniform �ickness Property

Whitney GeorgeWest Chester University

TUESDAY, SEPTEMBER 17 SCIENCE CENTER 199

DEPARTMENT OF MATHEMATICS AND STATISTICS • SWARTHMORE COLLEGE

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