Twisted edge Laplacians on finite graphs from a Kähler structure

Published 16 Jul 2024 in math.QA | (2407.11400v1)

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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