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arXiv · 2610.17028

Universality of $\mathsf{CohFT}$ of $\mathsf{Hilb}_n(S)$

Denis Nesterov·Hsian-Hua Tseng
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Abstract

By virtue of their relation to Fulton--MacPherson compactifications, the cohomological field theory of Hilbert schemes of points on a surface, in extremal curve classes, is universally and effectively determined by the characteristic numbers of the surface and by the corresponding theory of Hilbert schemes of the affine plane. As a consequence, we compute the extremal genus 1 Gromov--Witten invariants of Hilbert schemes of all surfaces.

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Denis Nesterov, Hsian-Hua Tseng. 2026-10-12. Universality of $\mathsf{CohFT}$ of $\mathsf{Hilb}_n(S)$. https://arxiv.org/abs/2610.17028

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