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PreprintarXiv licencearXiv

Balancing tautological intersection numbers

  • Kefeng Liu
  • Hao Xu
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Abstract

We prove the three balancing inequalities conjectured by the authors about 20 years ago: moving one unit from a larger index to a smaller one cannot decrease a mixed tautological intersection number, whether the two distinguished insertions are psi classes, kappa classes, or Hodge Chern classes.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026balancing,
  title = {{Balancing tautological intersection numbers}},
  author = {Kefeng Liu and Hao Xu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39462},
  eprint = {2610.39462},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39462},
}
RIS
TY  - UNPB
TI  - Balancing tautological intersection numbers
AU  - Kefeng Liu
AU  - Hao Xu
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39462
UR  - https://arxiv.org/abs/2610.39462
AB  - We prove the three balancing inequalities conjectured by the authors about 20 years ago: moving one unit from a larger index to a smaller one cannot decrease a mixed tautological intersection number, whether the two distinguished insertions are psi classes, kappa classes, or Hodge Chern classes.
ER  -