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arXiv · 2407.11400

Twisted edge Laplacians on finite graphs from a K\"{a}hler structure

Soumalya Joardar·Atibur Rahaman
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Abstract

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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BibTeXRIS

Soumalya Joardar, Atibur Rahaman. 2024-07-16. Twisted edge Laplacians on finite graphs from a K\"{a}hler structure. https://arxiv.org/abs/2407.11400

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