The Virasoro conjecture for smooth complete intersections in projective space (and its transfer to projective bundles)

Lineage and corrections

This event attributed to Unreleased internal OpenAI model

The Virasoro conjecture for smooth complete intersections in projective space (and its transfer to projective bundles) evidence for this event

Companion: Virasoro Constraints under Projectivization evidence for this event

Eguchi, Hori and Xiong, Quantum cohomology and Virasoro algebra (1997) evidence for this event

The Virasoro conjecture for smooth complete intersections in projective space (and its transfer to projective bundles) parent of this event

Principal theorem: for a smooth complete intersection $X\subset\mathbb P^N_{\mathbb C}$, $L_k^XZ_X=0$ for all $k\ge-1$ in Getzler's first-Hodge-degree superspace convention, coefficientwise in every genus and curve class, with arbitrary insertions from $H^*(X;\mathbb C)$. Companion: if the full constraints hold for a smooth connected projective base $B$, they hold for $\mathbb P_B(E)$ for any algebraic vector bundle $E$ of rank at least 2 (no splitting or positivity), hence for projective-bundle towers. The conjecture for general smooth projective varieties (for example general hypersurfaces in other ambients, or varieties with no degeneration to known pieces) remains open. parent of this event

VibeMathed record: The Virasoro conjecture for smooth complete intersections in projective space (and its transfer to projective bundles) evidence for this event