Pseudogradient Flows of Geometric Energies

Kapitel in diesem Buch

1. Frontmatter I
2. Contents V
3. 1 Introduction 1
4. Geometric curvature energies: facts, trends, and open problems 8
5. On Möbius invariant decomposition of the Möbius energy 36
6. Pseudogradient Flows of Geometric Energies 77
7. Discrete knot energies 109
8. Khovanov homology and torsion 125
9. Quadrisecants and essential secants of knots 138
10. Polygonal approximation of unknots by quadrisecants 159
11. Open knotting 176
12. The Knot Spectrum of Random Knot Spaces 205
13. Sampling Spaces of Thick Polygons 238
14. Equilibria of elastic cable knots and links 258
15. Groundstate energy spectra of knots and links: magnetic versus bending energy 276