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math.AG2024
Cohomological stabilization, perverse filtrations, and refined BPS invariants for del Pezzo surfaces
Weite Pi, Junliang Shen, Fei Si +1
We prove an asymptotic product formula for the refined BPS invariants associated with a local del Pezzo surface. Our formula governs the cohomological stabilization of the perverse…
math.AG2023
Fourier-Mukai transforms and the decomposition theorem for integrable systems
Davesh Maulik, Junliang Shen, Qizheng Yin
We study the interplay between the Fourier-Mukai transform and the decomposition theorem for an integrable system . Our main conjecture is that the Fourier-Muka…