3 papers
math.AG2025
The Dolbeault geometric Langlands conjecture via limit categories
Tudor PÄdurariu, Yukinobu Toda
We introduce limit categories for cotangent stacks of smooth stacks as an effective version of classical limits of categories of D-modules on them. We develop their general theory…
math.AG2025
Quasi-BPS categories for symmetric quivers with potential
Tudor PÄdurariu, Yukinobu Toda
We study certain categories associated to symmetric quivers with potential, called quasi-BPS categories. We construct semiorthogonal decompositions of the categories of matrix fact…
math.AG2024
Topological K-theory of quasi-BPS categories for Higgs bundles
Tudor PÄdurariu, Yukinobu Toda
In a previous paper, we introduced quasi-BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the…