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arXiv · 2510.00016

Infinitesimal Dilogarithm Satisfies Cluster Identities

Sinan Unver
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Abstract

In this paper, we show that the infinitesimal dilogarithm and Kontsevich's one-and-a-half logarithm function satisfies the identities which result from periods in cluster patterns. We also prove that these cluster identities are a consequence of the pentagon relation in the infinitesimal case.

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Sinan Unver. 2025-09-19. Infinitesimal Dilogarithm Satisfies Cluster Identities. https://arxiv.org/abs/2510.00016

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