Proves the full ordinary unreduced descendant Virasoro conjecture for smooth complete intersections in complex projective space, in every genus and curve class with arbitrary cohomology insertions. The constraints also pass from any smooth projective complex base satisfying them to the projectivization of every algebraic vector bundle of rank at least two, and hence to projective-bundle towers.
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In Virasoro Constraints for Projective Complete Intersections
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Let X\subset\PP^N_\C be a smooth complete intersection. Its ordinary, unreduced total descendant potential satisfies the Virasoro constraints in every genus and curve class, with arbitrary insertions from H^*(X;\C).
In Virasoro Constraints under Projectivization, 5 October 2026
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Let B be a smooth connected projective variety over \C, and let E be an algebraic vector bundle of rank r\geq2 on B. Let X=\mathbb P_B(E) parametrize one-dimensional subspaces of the fibers of E. Then
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Why this passage is shown
Theorem 1.1
In Virasoro Constraints for Projective Complete Intersections
Why this passage is shown
Theorem 1.1
In Virasoro Constraints under Projectivization, 5 October 2026