Showing 2024Show all
3 papers · 1 filter
math.AG2024
On the Chern filtration for the moduli of bundles on curves
Woonam Lim, Miguel Moreira, Weite Pi
We introduce and study the Chern filtration on the cohomology of the moduli of bundles on curves. This can be viewed as a natural cohomological invariant defined via tautological c…
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.AG2024
Cohomology rings of the moduli of one-dimensional sheaves on the projective plane
Yakov Kononov, Woonam Lim, Miguel Moreira +1
We initiate a systematic study on the cohomology rings of the moduli stack of semistable one-dimensional sheaves on the projective plane. We introduce a set of…