OpenAI reports P = W for fixed determinant in composite rank

For a smooth projective complex curve of genus at least two, the perverse and weight filtrations agree on the full rational cohomology of fixed-determinant, trace-free Higgs and character moduli spaces in every composite rank coprime to the degree.

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Understanding the problem

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For a smooth projective complex curve of genus at least two, the perverse and weight filtrations agree on the full rational cohomology of fixed-determinant, trace-free Higgs and character moduli spaces in every composite rank coprime to the degree.

Why it matters

If correct, completes the fixed-determinant P = W filtration comparison in every coprime rank when combined with prior prime-rank results.

What counts as progress

Do the perverse and weight filtrations agree for fixed-determinant moduli in composite coprime rank?

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