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Balancing tautological intersection numbers

Kefeng Liu, Hao Xu

Source record

Source: arXiv

Published: Oct 29, 2026

arXiv: 2610.39462

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Source 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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Balancing tautological intersection numbers — Mathematical Frontier Network