PreprintCC BY-NC-SA 4.0arXiv
Universality of CohFT of Hilbn(S)
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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BibTeX
@misc{nesterov2026universality,
title = {{Universality of $\mathsfCohFT$ of $\mathsfHilb_n(S)$}},
author = {Denis Nesterov and Hsian-Hua Tseng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17028},
eprint = {2610.17028},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17028},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Universality of CohFT of Hilb_n(S)
AU - Denis Nesterov
AU - Hsian-Hua Tseng
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.17028
UR - https://arxiv.org/abs/2610.17028
AB - 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.
ER -