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New Directions in Geometric and Applied Knot Theory / Philipp Reiter, Simon Blatt, Armin Schikorra.

Contributor(s): Material type: TextTextPublisher: Warsaw ; Berlin : De Gruyter Open Poland, [2018]Copyright date: ©2018Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110571547
  • 3110571544
  • 9783110571493
  • 3110571498
Subject(s): Genre/Form: Additional physical formats: No title; No titleDDC classification:
  • 514/.2242 23
LOC classification:
  • QA612.2
Online resources:
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
Summary: 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-disciplines, such as the young αeld of geometric knot theory, combinatorial knot theory, as well as applications in microbiology and theoretical physics.
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In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 15. Jun 2019).

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

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-disciplines, such as the young αeld of geometric knot theory, combinatorial knot theory, as well as applications in microbiology and theoretical physics.

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