Energy Of Knots And Conformal Geometry
eBook - PDF

Energy Of Knots And Conformal Geometry

  1. 304 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Energy Of Knots And Conformal Geometry

About this book

Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problems in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting through numerical experiments.

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Yes, you can access Energy Of Knots And Conformal Geometry by Jun O'hara in PDF and/or ePUB format, as well as other popular books in Mathematics & Analytic Geometry. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Preface
  3. Part 1 In search of the "optimal embedding" of a knot
  4. Part 2 Energy of knots from a conformal geometric viewpoint
  5. Appendix A Generalization of the Gauss formula for the linking number
  6. Appendix B The 3-tuple map to the set of circles in S3
  7. Appendix C Conformal moduli of a solid torus
  8. Appendix D Kirchhoff elastica
  9. Appendix E Open problems and dreams
  10. Bibliography
  11. Index