Twisted edge Laplacians on finite graphs from a K\"{a}hler structure
Quantum Algebra
2024-07-17 v1
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.
Cite
@article{arxiv.2407.11400,
title = {Twisted edge Laplacians on finite graphs from a K\"{a}hler structure},
author = {Soumalya Joardar and Atibur Rahaman},
journal= {arXiv preprint arXiv:2407.11400},
year = {2024}
}
Comments
14 pages