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math.AG2021★ 3 cited
Cohomological -independence for Higgs bundles and Gopakumar-Vafa invariants
Tasuki Kinjo, Naoki Koseki
The aim of this paper is two-fold: Firstly, we prove Toda's -independence conjecture for Gopakumar--Vafa invariants of arbitrary local curves. Secondly, following Davison's work…
math.AG2021★ 1 cited
Categorical blow-up formula for Hilbert schemes of points
Naoki Koseki
Let be a smooth projective surface, and be its blow-up at a point. In this paper, we study the derived category of the Hilbert scheme of points on the blow-up $\hat{S…