从凯勒结构看有限图上的扭曲边拉普拉奇

arXiv - MATH - Quantum Algebra Pub Date : 2024-07-16 DOI:arxiv-2407.11400

Soumalya Joardar, Atibur Rahaman

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引用次数: 0

摘要

本文研究了有限点上的卡勒结构。特别是，我们研究了由本文引入的 Kahler 结构扭曲的图的边拉普拉奇。我们还讨论了来自扭曲全形多尔贝-迪拉克谱三重的度量方面，并证明这些点在康内斯距离方面具有有限直径。

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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Twisted edge Laplacians on finite graphs from a Kähler structure

In this paper we study a Kahler structure on finite points. In particular, we study the edge Laplacian of a graph twisted by the Kahler structure introduced in this paper. We also discuss a metric aspect from a twisted holomorphic Dolbeault-Dirac spectral triple and show that the points have a finite diameter with respect to Connes' distance.

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arXiv - MATH - Quantum Algebra

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