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Tropical Ptolemy Transformations and Invariants of Braids

2025/06/10 by Singh, Gurnoor
Arts and Humanities · Mathematics · Physics and Astronomy · #20F36 #57K20 #57K31 #57M25 #Ancient Egypt and Archaeology #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Historical Astronomy and Related Studies #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.2506.12085

openalex publication_date 2025/06/10 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

It often happens in mathematics that one and the same equation is known under different names in different areas of mathematics. The famous pentagon identity appears in low-dimensional topology in different ways. In this paper, we use the tropical version of the Ptolemy equation to construct invariants of braids.

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