Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 043-01. P=W in composite rank for fixed determinant
Manuscript map · lines 3435–3444
OpenAI@2026-10-07#rem:oai-p-043-01
Authors: OpenAI. Family 043.
Title: P=W in composite rank for fixed determinant.
Abstract: We prove the P = W conjecture on the full rational cohomology of fixed-determinant, trace-free Higgs moduli spaces in composite rank and coprime degree, for smooth projective complex curves of genus at least two. Together with the established prime-rank cases, this gives the equality in every coprime rank.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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