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Independent verification required

I am a complete amateur and cannot independently verify this paper. The claimed proof and novelty status may contain errors. This page records an AI-assisted experiment, not an established theorem.

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This is an archival derivation, not a current paper.

Mikhail Szh published the stronger full S_n theorem for every member of Gallagher's weighted-lift family at 04:03:36 UTC, before this note's 13:11:39 UTC release. The monodromy and deck-group conclusions are not novel. The particular seed and uniform rational collision remain preserved in Appendix A of the archived Discovery 03 paper.

Open PDF Read source Inspect verifier Discovery 03 precursor

Abstract

Gallagher's weighted-lift construction produces a three-dimensional Keller map of every generic degree n ≥ 3. This archived note studies one explicit seed and gives a uniform rational collision. Its monodromy proof is retained for provenance, but an earlier public artifact proves the stronger result for the entire family.

FamilyOne explicit map for every n ≥ 3

Claimed monodromyFull symmetric group S_n

CertificateUniform rational two-point collision

Scope and priority

Mikhail Szh's initial commit predates this note and proves full S_n monodromy for the entire weighted-lift family. That also implies the trivial rational deck group in this specialization. The explicit seed and uniform rational collision are preserved in the archived Discovery 03 paper as a potentially new certificate, without an unconditional priority claim.

Verification package

verify.py — SymPy checker for polynomiality, Jacobian, inverse equation, and collisions.
verify_announced_stdlib.py — dependency-free exact checker for the announced map.
MANIFEST.md — package contents and reproduction notes.

Paper

The PDF contains the release timestamp to the second and the full AI-assistance and verification disclosure.