Chapter
Open Access
Quadrisecants and essential secants of knots
with applications to the geometry of knots
-
Elizabeth Denne
Chapters in this book
- Frontmatter I
- Contents V
- 1 Introduction 1
- Geometric curvature energies: facts, trends, and open problems 8
- On Möbius invariant decomposition of the Möbius energy 36
- Pseudogradient Flows of Geometric Energies 77
- Discrete knot energies 109
- Khovanov homology and torsion 125
- Quadrisecants and essential secants of knots 138
- Polygonal approximation of unknots by quadrisecants 159
- Open knotting 176
- The Knot Spectrum of Random Knot Spaces 205
- Sampling Spaces of Thick Polygons 238
- Equilibria of elastic cable knots and links 258
- Groundstate energy spectra of knots and links: magnetic versus bending energy 276
Chapters in this book
- Frontmatter I
- Contents V
- 1 Introduction 1
- Geometric curvature energies: facts, trends, and open problems 8
- On Möbius invariant decomposition of the Möbius energy 36
- Pseudogradient Flows of Geometric Energies 77
- Discrete knot energies 109
- Khovanov homology and torsion 125
- Quadrisecants and essential secants of knots 138
- Polygonal approximation of unknots by quadrisecants 159
- Open knotting 176
- The Knot Spectrum of Random Knot Spaces 205
- Sampling Spaces of Thick Polygons 238
- Equilibria of elastic cable knots and links 258
- Groundstate energy spectra of knots and links: magnetic versus bending energy 276
