© 2011

The Mathematics of Knots

Theory and Application

  • Markus Banagl
  • Denis Vogel

Part of the Contributions in Mathematical and Computational Sciences book series (CMCS, volume 1)

Table of contents

  1. Front Matter
    Pages I-X
  2. Markus Banagl, Sylvain E. Cappell, Julius L. Shaneson
    Pages 1-30
  3. Kumud Bhandari, H. A. Dye, Louis H. Kauffman
    Pages 31-43
  4. Stefan Friedl, Stefano Vidussi
    Pages 45-94
  5. Heather Ann Dye, Louis Hirsch Kauffman, Vassily Olegovich Manturov
    Pages 95-124
  6. Jesús Juyumaya, Sofia Lambropoulou
    Pages 125-142
  7. Vassily Olegovich Manturov
    Pages 169-197
  8. Józef H. Przytycki
    Pages 257-316
  9. Martin Scharlemann
    Pages 317-325
  10. De Witt Sumners
    Pages 327-353
  11. Back Matter
    Pages 355-357

About this book


The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands.


3-manifolds knot theory singular embeddings topological enzymology topological quantum field theory

Editors and affiliations

  • Markus Banagl
    • 1
  • Denis Vogel
    • 2
  1. 1.Department of MathematicsUniversity of HeidelbergHeidelbergGermany
  2. 2.Department of MathematicsUniversity of HeidelbergHeidelbergGermany

Bibliographic information