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Crossing matrix and a polynomial invariant of braid syste...
[Submitted on 5 Jan 2026 (v1), last revised 2 Jun 2026 (this ver · 2026-06-03 · via math updates on arXiv.org

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Abstract:We study the crossing matrix of a braid and introduce a polynomial invariant for braid systems that is invariant under Hurwitz equivalence. As an application to the study of surface braids and surface links, we also define an invariant that can be used as an indicator of the necessity of Euler fusion or fission between braid systems.

Submission history

From: Yoshiro Yaguchi [view email]
[v1] Mon, 5 Jan 2026 18:14:58 UTC (97 KB)
[v2] Mon, 1 Jun 2026 07:58:56 UTC (398 KB)
[v3] Tue, 2 Jun 2026 02:44:05 UTC (398 KB)