Khovanov Laplacian和Khovanov Dirac。

IF 2.6 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Physics Complexity Pub Date : 2025-06-01 Epub Date: 2025-06-12 DOI:10.1088/2632-072X/adde9f

Benjamin Jones, Guo-Wei Wei

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引用次数: 0

摘要

自2000年以来，Khovanov同调一直是结理论和低维拓扑学研究的主题。本文介绍了一个Khovanov Laplacian和一个Khovanov Dirac来研究结图和连接图。Khovanov拉普拉斯算子和Khovanov狄拉克算子的调和谱保留了Khovanov同调的拓扑不变量，而它们的非调和谱揭示了与Khovanov同调不同的附加信息。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Khovanov Laplacian and Khovanov Dirac for knots and links.

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Khovanov Laplacian and Khovanov Dirac for knots and links.

Khovanov homology has been the subject of much study in knot theory and low dimensional topology since 2000. This work introduces a Khovanov Laplacian and a Khovanov Dirac to study knot and link diagrams. The harmonic spectrum of the Khovanov Laplacian or the Khovanov Dirac retains the topological invariants of Khovanov homology, while their non-harmonic spectra reveal additional information that is distinct from Khovanov homology.

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来源期刊

Journal of Physics Complexity Computer Science-Information Systems

CiteScore

4.30

自引率

11.10%

发文量

审稿时长

14 weeks