Journal of Knot Theory and Its Ramifications

期刊简介：This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. Our stance is interdisciplinary due to the nature of the subject. Knot theory as a core mathematical discipline is subject to many forms of generalization (virtual knots and links, higher-dimensional knots, knots and links in other manifolds, non-spherical knots, recursive systems analogous to knotting). Knots live in a wider mathematical framework (classification of three and higher dimensional manifolds, statistical mechanics and quantum theory, quantum groups, combinatorics of Gauss codes, combinatorics, algorithms and computational complexity, category theory and categorification of topological and algebraic structures, algebraic topology, topological quantum field theories).Papers that will be published include:-new research in the theory of knots and links, and their applications;-new research in related fields;-tutorial and review papers.With this Journal, we hope to serve well researchers in knot theory and related areas of topology, researchers using knot theory in their work, and scientists interested in becoming informed about current work in the theory of knots and its ramifications.

【译文】本期刊旨在成为结理论新发展的论坛，特别是那些将结理论与数学和自然科学其他方面建立联系的发展。由于学科的性质，我们的立场是跨学科的。作为核心数学学科，结理论受到许多形式的一般化（虚拟结和链、高维结、其他流形中的结和链、非球形结、类似于结的递归系统）。结存在于更广泛的数学框架中（三维及以上流形的分类、统计力学和量子理论、量子群、高斯码的组合学、组合学、算法和计算复杂性、范畴论和拓扑和代数结构的范畴化、代数拓扑、拓扑量子场论）。即将出版的论文包括：-结和链理论及其应用的新研究；-相关领域的新研究；-教程和综述论文。通过这本期刊，我们希望为结理论和相关拓扑领域的研究人员、在工作中使用结理论的研究人员以及希望了解结理论及其影响的研究人员提供服务。