Knotted fields / Renzo L. Ricca, Xin Liu, editors.

Format:

Book

Contributor:

Ricca, Renzo L., Editor.

Liu, Xin, Editor.

刘, 鑫

Series:

Lecture notes in mathematics (Springer-Verlag) ; 0075-8434 2344.

Lecture notes in mathematics, 0075-8434 ; volume 2344

Language:

English

Subjects (All):

Geometry.

Topology.

geometry.

Physical Description:

xiii, 345 pages : illustrations (chiefly color) ; 24 cm.

Place of Publication:

Cham, Switzerland : Springer, [2024]

Summary:

"This book provides a remarkable collection of contributions written by some of the most accredited world experts in the modern area of knotted fields. Scope of the book is to provide an updates view of some of the key aspects of contemporary research, with the purpose to cover basic concepts and techniques commonly used in the context of knotted fields."-- Back cover.

Contents:

A Topological Approach to Vortex Knots and Links / Xin Liu, Renzo L. Ricca, and Hao Guan

From Knot Invariants to Knot Dynamics / Louis H. Kauffman

Multi-Valued Potentials in Topological Field Theory / Renzo L. Ricca, Matteo Foresti, and Xin Liu

Excitable and Magnetic Knots / Paul Sutcliffe

Spiral Waves in Excitable Media: Seifert Framing and Helicity / De Witt Sumners

Designing Knotted Fields in Light and Electromagnetism / Mark R. Dennis

Tangled Vortex Lines: Dynamics, Geometry and Topology of Quantum Turbulence / Carlo F. Barenghi

An Introduction to KnotPlot / Robert G. Scharein and Eric J. Rawdon

Using the HOMFLYPT Polynomial to Compute Knot Types / Eric J. Rawdon and Robert G. Scharein.

Notes:

Includes bibliographical references and index.

ISBN:

9783031579844

3031579844

OCLC:

1445892755