New Directions in Geometric and Applied Knot Theory

The aim of this book is to present recent results in both theoretical and applied knot theory-which are at the same time stimulating for leading researchers in the αeld as well as accessible to non-experts. The book comprises recent research results while covering a wide range of di erent sub-discip...

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Bibliographic Details
Other Authors: Blatt, Simon, Reiter, Philipp, Schikorra, Armin
Format: eBook
Language:English
Published: Warsaw ; Berlin De Gruyter Open Poland, [2018]
Subjects:
Online Access:EBSCOhost
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Table of Contents:
  • Frontmatter
  • Contents
  • 1 Introduction
  • Geometric curvature energies: facts, trends, and open problems / Strzelecki, Paweł / Mosel, Heiko von der
  • On Möbius invariant decomposition of the Möbius energy / Nagasawa, Takeyuki
  • Pseudogradient Flows of Geometric Energies / Schumacher, Henrik
  • Discrete knot energies / Scholtes, Sebastian
  • Khovanov homology and torsion / Sazdanovic, Radmila
  • Quadrisecants and essential secants of knots / Denne, Elizabeth
  • Polygonal approximation of unknots by quadrisecants / Jin, Gyo Taek
  • Open knotting / Brine-Doyle, Erin / Shogren, Madeline / Vecchia, Emily / Rawdon, Eric J.
  • The Knot Spectrum of Random Knot Spaces / Diao, Yuanan / Ernst, Claus / Ziegler, Uta / Rawdon, Eric J.
  • Sampling Spaces of Thick Polygons / Chapman, Kyle / Millett, Kenneth C. / Plunkett, Laura
  • Equilibria of elastic cable knots and links / Starostin, Eugene L. / Heijden, Gert H.M. van der
  • Groundstate energy spectra of knots and links: magnetic versus bending energy / Ricca, Renzo L. / Maggioni, Francesca