Knots, Low-Dimensional Topology and Applications

This book explores a range of topics in knot theory and low-dimensional topology, featuring contributions from experts in the field and insights from a significant international conference.

The focal topics of Knots, Low-Dimensional Topology and Applications encompass a wide range of historical and contemporary invariants related to knots and links. It also delves into associated subjects such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, skein modules, knot algebras, link homology, and quandles along with their homology. These themes highlight the intricate connections between mathematical theory and practical applications.

This proceedings volume offers a diverse collection of high-quality research and survey articles authored by leading experts in low-dimensional topology and its applications. The contributions reflect state-of-the-art findings and methodologies, showcasing the latest advancements in the field. The book serves as a valuable resource for researchers looking to deepen their understanding of knot theory and its relevance across various disciplines.

The contents stem from the International Conference on Knots, Low-Dimensional Topology and Applications – Knots in Hellas 2016, held at the International Olympic Academy in Greece. The conference aimed to foster collaboration among scholars, from graduate students to seasoned researchers, and to address fundamental research questions within knot theory and low-dimensional topology. This book is an essential tool for anyone interested in exploring new directions in research, learning about innovative techniques, and discovering recent literature relevant to their studies.