Verification and Reconstruction of a Claimed Complex Structure on S6: An AI-Produced Validate/Repair/Disprove Record

This version adds a new independent mathematical note and places it first in the file list. The note is a self-contained correction and test-family paper arising from the audit of the claimed complex structure on S6. It proves the missing torsion-sheaf filtration and connecting-map criterion, gives an explicit proper nodal-cubic × P1 test family, and records the local relative one-form calculation and a derived sufficient CDP criterion. It does not claim a complex structure on S6 or a disproof of CDP20. Files for readers 00_s6_independent_correction_note_v1.0.pdf — the new independent correction/test-family note (fronted file). 00_s6_independent_correction_note_source_v1.0.zip — the note's LaTeX source, bibliography, README, assessment, and compiled PDF. 01_s6_peer_verification_monograph_v1.0.pdf — the full long-form validate/repair/disprove workbench and audit monograph, including the complete reconstructed analysis. 02_s6_annotated_manuscript_v1.0.pdf — the annotated manuscript. 03_s6_clean_latex_reconstruction_v1.0.pdf — the clean transcription/reconstruction. 04_s6_peer_verification_sources_and_evidence_v1.0.zip and 05–13 files — source material, provenance, review records, exact certificates, sanitized records, receipts, and validation evidence. CITATION.cff, README.md, LICENSE_SCOPE.md, RIGHTS_AND_PROVENANCE.md, and the checksum/metadata files — citation, rights, reproducibility, and integrity information. The original candidate construction remains attributed to Levent Alpöge's supplied manuscript. The long-form audit and this note are AI-assisted verification and reconstruction records, not conventional journal peer review or independent specialist certification; specialist replication and external adjudication remain open. The public source manuscript is available at alpo.ge/s6.pdf, and the public context page is zeli.app/story/49412947.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22238779
Primary Topic
Mathematics, Computing, and Information Processing
Type
article
Field-Weighted Citation Impact
0.00
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article

Verification and Reconstruction of a Claimed Complex Structure on S6: An AI-Produced Validate/Repair/Disprove Record

KokunoYumeto
Zenodo (CERN European Organization for Nuclear Research)
Mathematics, Computing, and Information Processing
article

Verification and Reconstruction of a Claimed Complex Structure on S6: An AI-Produced Validate/Repair/Disprove Record

KokunoYumeto
article en

Abstract

This version adds a new independent mathematical note and places it first in the file list. The note is a self-contained correction and test-family paper arising from the audit of the claimed complex structure on S6. It proves the missing torsion-sheaf filtration and connecting-map criterion, gives an explicit proper nodal-cubic × P1 test family, and records the local relative one-form calculation and a derived sufficient CDP criterion. It does not claim a complex structure on S6 or a disproof of CDP20. Files for readers 00_s6_independent_correction_note_v1.0.pdf — the new independent correction/test-family note (fronted file). 00_s6_independent_correction_note_source_v1.0.zip — the note's LaTeX source, bibliography, README, assessment, and compiled PDF. 01_s6_peer_verification_monograph_v1.0.pdf — the full long-form validate/repair/disprove workbench and audit monograph, including the complete reconstructed analysis. 02_s6_annotated_manuscript_v1.0.pdf — the annotated manuscript. 03_s6_clean_latex_reconstruction_v1.0.pdf — the clean transcription/reconstruction. 04_s6_peer_verification_sources_and_evidence_v1.0.zip and 05–13 files — source material, provenance, review records, exact certificates, sanitized records, receipts, and validation evidence. CITATION.cff, README.md, LICENSE_SCOPE.md, RIGHTS_AND_PROVENANCE.md, and the checksum/metadata files — citation, rights, reproducibility, and integrity information. The original candidate construction remains attributed to Levent Alpöge's supplied manuscript. The long-form audit and this note are AI-assisted verification and reconstruction records, not conventional journal peer review or independent specialist certification; specialist replication and external adjudication remain open. The public source manuscript is available at alpo.ge/s6.pdf, and the public context page is zeli.app/story/49412947.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 9%
Mathematics, Computing, and Information Processing
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