OpenAI reports transfer of Virasoro constraints through projectivization

If a smooth projective complex base satisfies all ordinary descendant Virasoro constraints, then the projectivization of every algebraic vector bundle of rank at least two over it satisfies them in every genus and individual integral curve class, with all cohomology insertions.

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Understanding the problem

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If a smooth projective complex base satisfies all ordinary descendant Virasoro constraints, then the projectivization of every algebraic vector bundle of rank at least two over it satisfies them in every genus and individual integral curve class, with all cohomology insertions.

Why it matters

If correct, extends all-genus Virasoro transfer to arbitrary projective bundles and their towers.

What counts as progress

Do full descendant Virasoro constraints pass from a base to every projective bundle over it?

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