New Directions in Geometric and Applied Knot Theory

Open Access Published by De Gruyter Open Poland 2022

New Directions in Geometric and Applied Knot Theory

Edited by: Philipp Reiter , Simon Blatt and Armin Schikorra

https://doi.org/10.1515/9783110571493

Overview
Contents

About this book

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 ﬁeld as well as accessible to non-experts. The book comprises recent research results while covering a wide range of diﬀerent sub-disciplines, such as the young ﬁeld of geometric knot theory, combinatorial knot theory, as well as applications in microbiology and theoretical physics.

Author / Editor information

Philipp Reiter, Universität Duisburg-Essen, Germany; Simon Blatt, University of Salzburg, Austria; Armin Schikorra, Albert-Ludwigs-Universität, Germany

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
1 Introduction Open Access Download PDF	1
Geometric curvature energies: facts, trends, and open problems Paweł Strzelecki and Heiko von der Mosel Open Access Download PDF	8
On Möbius invariant decomposition of the Möbius energy Takeyuki Nagasawa Open Access Download PDF	36
Pseudogradient Flows of Geometric Energies Henrik Schumacher Open Access Download PDF	77
Discrete knot energies Sebastian Scholtes Open Access Download PDF	109
Khovanov homology and torsion Radmila Sazdanovic Open Access Download PDF	125
Quadrisecants and essential secants of knots with applications to the geometry of knots Elizabeth Denne Open Access Download PDF	138
Polygonal approximation of unknots by quadrisecants Gyo Taek Jin Open Access Download PDF	159
Open knotting Erin Brine-Doyle, Madeline Shogren, Emily Vecchia and Eric J. Rawdon Open Access Download PDF	176
The Knot Spectrum of Random Knot Spaces Yuanan Diao, Claus Ernst, Uta Ziegler and Eric J. Rawdon Open Access Download PDF	205
Sampling Spaces of Thick Polygons Kyle Chapman, Kenneth C. Millett and Laura Plunkett Open Access Download PDF	238
Equilibria of elastic cable knots and links Eugene L. Starostin and Gert H.M. van der Heijden Open Access Download PDF	258
Groundstate energy spectra of knots and links: magnetic versus bending energy Renzo L. Ricca and Francesca Maggioni Open Access Download PDF	276

(Deutsch)

Language: English
Publisher: De Gruyter Open Poland
Audience: Researchers and graduate students in mathematics.
Pages
- Main content: 200

eBook

Published: June 21, 2022
ISBN: 9783110571493

Hardcover

Published: December 31, 2018
ISBN: 9783110571486