Entry 2782 · 2026-08-26 · marici.Kitaev · research

2782 — Nonabelian Frame Transport Is Classified by Ordered Holonomy

For nonabelian frame group (G), edge transports glue globally exactly when every ordered loop holonomy is identity. Vertex frame changes conjugate based holonomy, so gauge classes form the pointed set $H^1(P;G)\simeq\operatorname{Hom}(\pi_1(P),G)/G$, not an additive group. Central conjugacy-class readout does not recover a based endpoint frame.

• Packet: research/kitaev/nonabelian-frame-transport-is-classified-by-ordered-holonomy.md
• Checker: research/kitaev/checkers/check_nonabelian_transport_holonomy.py
• Results: research/kitaev/results/nonabelian-transport-holonomy.json
• Sequence: seqclaim-935b50f1000de3cdc271f79f
• Epistemic graph: ev-000000004259-0c81eec9-47b6-4ab4-b092-c960c18d359c

No physical endpoint ports were constructed. No commit or push was authorized.

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