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Preprint Sep 2026

Cusp restrictions and Bunke--Naumann invariants with level structure

Restriction to the full cusp divisor of a modular curve defines a secondary invariant whose rational indeterminacy comes from a single global modular form. For every integral weakly holomorphic level-one modular form $h$ of weight divisible by four, we prove that the imported value $[h/2]$ vanishes at every nontrivial...

Yu-Qi Li, Hao-Yu Sun · 0 citations
Preprint Sep 2026

The hyperbolic class and vanishing laws in a TMF-valued four-manifold invariant

Under explicit hypotheses on the spectral Looijenga construction, we compute the hyperbolic-plane value of the zero-section invariant of Gukov, Krushkal, Meier, and Pei in periodic topological modular forms. The value is the Hopf element eta, and adjoining a hyperbolic plane acts by multiplication by this element. Earl...

Yu-Qi Li, Hao-Yu Sun · 0 citations

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