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math.AG2025
Generalized intersection pairings on moduli spaces of vector bundles over a curve
Chenjing Bu, Young-Hoon Kiem
We introduce the notion of a generalized intersection pairing for an Artin stack with a proper good moduli space and nonempty stable part. For the moduli stack of semistable bundle…
math.AG2025
Characteristic polynomial of and log-concavity
Jinwon Choi, Young-Hoon Kiem, Donggun Lee
Motivated by Stanley's generalization of the chromatic polynomial of a graph to the chromatic symmetric function, we introduce the characteristic polynomial of a representation of…
math.AG2025
Cosection localization via shifted symplectic geometry
Young-Hoon Kiem, Hyeonjun Park
The purpose of this paper is to shed a new light on classical constructions in enumerative geometry from the view point of derived algebraic geometry. We first prove that the cosec…