English

Tropical Ptolemy Transformations and Invariants of Braids

Geometric Topology 2025-06-17 v1 Group Theory

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.

Keywords

Cite

@article{arxiv.2506.12085,
  title  = {Tropical Ptolemy Transformations and Invariants of Braids},
  author = {Gurnoor Singh},
  journal= {arXiv preprint arXiv:2506.12085},
  year   = {2025}
}

Comments

10 pages, 6 figures