{"title":"Twisted edge Laplacians on finite graphs from a Kähler structure","authors":"Soumalya Joardar, Atibur Rahaman","doi":"arxiv-2407.11400","DOIUrl":null,"url":null,"abstract":"In this paper we study a Kahler structure on finite points. In particular, we\nstudy the edge Laplacian of a graph twisted by the Kahler structure introduced\nin this paper. We also discuss a metric aspect from a twisted holomorphic\nDolbeault-Dirac spectral triple and show that the points have a finite diameter\nwith respect to Connes' distance.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"44 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.11400","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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