**Proceedings of Symposia in Applied Mathematics**

Volume: 66;
2009;
186 pp;
Hardcover

MSC: Primary 53; 57; 81; 82; 92;

Print ISBN: 978-0-8218-4466-3

Product Code: PSAPM/66

List Price: $52.00

Individual Member Price: $41.60

**Electronic ISBN: 978-0-8218-9281-7
Product Code: PSAPM/66.E**

List Price: $52.00

Individual Member Price: $41.60

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# Applications of Knot Theory

Share this page *Edited by *
*Dorothy Buck; Erica Flapan*

Over the past 20–30 years, knot theory has rekindled its historic ties
with biology, chemistry, and physics as a means of creating more
sophisticated descriptions of the entanglements and properties of
natural phenomena—from strings to organic compounds to DNA.

This volume is based on the 2008 AMS Short Course, Applications of
Knot Theory. The aim of the Short Course and this volume, while not
covering all aspects of applied knot theory, is to provide the reader
with a mathematical appetizer, in order to stimulate the mathematical
appetite for further study of this exciting field.

No prior knowledge of topology, biology, chemistry, or physics is
assumed. In particular, the first three chapters of this volume
introduce the reader to knot theory (by Colin Adams), topological
chirality and molecular symmetry (by Erica Flapan), and DNA topology
(by Dorothy Buck). The second half of this volume is focused on three
particular applications of knot theory. Louis Kauffman discusses
applications of knot theory to physics, Nadrian Seeman discusses how
topology is used in DNA nanotechnology, and Jonathan Simon discusses the
statistical and energetic properties of knots and their relation to
molecular biology.

#### Readership

Graduate students and research mathematicians interested in knot theory and applications.

# Table of Contents

## Applications of Knot Theory

- Contents v6 free
- Preface vii8 free
- A Brief Introduction to Knot Theory from the Physical Point of View 112 free
- Topological Chirality and Symmetries of Non-rigid Molecules 2132
- DNA Topology 4758
- Knots and Physics 8192
- Synthetic Single-Stranded DNA Topology 121132
- Long Tangled Filaments 155166
- Index 183194