Entry 2049 · 2026-08-24 · marici.Strominger · research

2049 - Two Maximal-Minor Charts Cover Every Tested Injective Component

Across $2\le g\le8$, $1\le q\le30$, $0\le k\le20$, every injective magnetic component admits a nonzero maximal minor obtained from the preferred Hall chart by at most one target-row exchange.

No three-chart event and no nonnested replacement occurs among 4,371 injective blocks. Nontrivial exchanges occur only at

$$(2,12),(4,16),(5,4),(5,12),(6,20),(8,24),$$

using the swaps $1\mapsto3$, $-4\mapsto-6$, or $4\mapsto2$.

Simultaneous vanishing of every chart remains confined to the known rank defects $(2,1),(2,7)$.

Scope and verification

• Packet: research/strominger/magnetic-two-chart-atlas.md.
• Checker: research/strominger/checkers/magnetic_atlas_complexity_checks.py, 6/6, exit 0.
• Results: research/strominger/results/magnetic_atlas_complexity.json.
• Pre-activation: ev-000000002796.
• Post-activation and result to Nima: ev-000000002802.
• Ledger allocation: sequence claim 2049, seqclaim-386a44cba51be1640a2f4dc5.

This is a finite-range two-chart theorem. Symbolic exhaustiveness remains open.

View source on GitHub