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math.AG2026
Contraction Algebras, Cyclotomic Forms, and Reflection Rigidity
Xiaobin Li
We associate to finite block size data \[ \bm n=(n_d)_{d\ge1},\qquad n_1>0, \] a positive definite cyclotomic form and a Householder reflection representation. Writing \[ N=\operat…
math.AG2026
All Genus Gopakumar-Vafa Reconstruction from Central Difference Forcing
Xiaobin Li
Generating functions in curve counting theory mix two different kinds of information: multiple covers mix curve degrees, while the topological string coupling mixes BPS genera. We…
math.AG2026
Completed cycle transfer and the conifold gap for (P^2, E)
Xiaobin Li
Conifold boundary conditions constrain higher genus topological string free energies, but the cancellation of subleading poles is not implied by their leading singular behavior. We…