Involution-equivariant topological recursion and mirror symmetry for the affine binary dihedral Calabi--Yau threefold

Bohan Fang, Zhuoming Lan, Jingxiang Ma

Fang, Lan and Ma identify affine binary-dihedral orbifold Gromov–Witten theory with involution-equivariant sign-sector recursion on a type-D logarithmic Toda curve, for stable descendants with n>0 and 2g−2+n>0 and free energies with g≥2 on the stated smooth chamber.

Sources for this record

What was already known

Earlier remodeling and graph-comparison theorems covered toric Calabi–Yau settings; this binary-dihedral target is non-toric.

AI involvement AI-centered

Rethlas agents generated the detailed mathematical chain. Fang, Lan and Ma supplied the mirror-curve setup, degeneration hint and proof strategy, then reviewed and edited the paper.

Agents supplied the detailed mathematical chain, while humans supplied the overall proof strategy and initial geometric setup.

Importance Notable

The result extends the remodeling framework to a specified non-toric orbifold.

Limitations

The authors report manual correctness review of the full manuscript. The result remains limited to its stated chamber, sector and stable ranges.

Technical verification Formal (human)

The authors report manual correctness proofreading of the entire final paper. GPT verification is not a separate human or machine method under the policy.

Formal checking

Manual proofreading and mathematical editing of the entire manuscript

Checker
Fang, Lan and Ma
Scope
Final binary-dihedral remodeling theorems and full paper
Basis
Reported by the linked checker
Evidence source

Checking a formal statement does not establish that it matches the original problem.

Human understanding Full

The authors provide a concrete proof strategy explaining semistable degeneration, R-matrix matching and parity-twisted graph comparison.

Correction and publication history