G 考量中的修正对称积分

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Knot Theory and Its Ramifications Pub Date : 2024-01-24 DOI:10.1142/s0218216523500827

Nathan Geer, Ngoc Phu Ha, Bertrand Patureau-Mirand

引用次数: 0

摘要

对于交换群 G，我们利用修正积分的概念给出了一个纯霍普夫 G-代数构造的 G 色 3-manifolds不变式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modified symmetrized integral in G-coalgebras

For $G$ a commutative group, we give a purely Hopf $G$ -coalgebra construction of $G$ -colored $3$ -manifolds invariants using the notion of modified integral.

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来源期刊

Journal of Knot Theory and Its Ramifications 数学-数学

CiteScore

0.80

自引率

40.00%

发文量

127

审稿时长

4-8 weeks

期刊介绍： 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.