7 papers
The Dolbeault geometric Langlands conjecture via limit categories
Tudor Pădurariu, 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…
Topological K-theory of quasi-BPS categories for Higgs bundles
Tudor Pădurariu, 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…
Quasi-BPS categories for K3 surfaces
Tudor Pădurariu, Yukinobu Toda
We introduce and begin the study of quasi-BPS categories for K3 surfaces, which are a categorical version of the BPS cohomologies for K3 surfaces. We construct semiorthogonal decom…
Quasi-BPS categories for symmetric quivers with potential
Tudor Pădurariu, 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…
Categorical and K-theoretic Donaldson-Thomas theory of (part II)
Tudor Pădurariu, Yukinobu Toda
Quasi-BPS categories appear as summands in semiorthogonal decompositions of DT categories for Hilbert schemes of points in the three dimensional affine space and in the categorical…
Generators for K-theoretic Hall algebras of quivers with potential
Tudor Pădurariu
K-theoretic Hall algebras (KHAs) of quivers with potential are a generalization of preprojective KHAs of quivers, which are conjecturally positive parts of the Okounkov-Smi…
Categorical and K-theoretic Hall algebras for quivers with potential
Tudor Pădurariu
Given a quiver with potential , Kontsevich-Soibelman constructed a Hall algebra on the critical cohomology of the stack of representations of . Special cases of this…