4 citations · 11 across the 13 of their papers we have counts for
14 papers
Semiorthogonal decompositions for stacks
Chenjing Bu, Tudor Pădurariu, Yukinobu Toda
We give a systematic construction of semiorthogonal decompositions of derived categories of coherent sheaves on quasi-smooth derived algebraic stacks over , where the s…
Cohomology of symmetric stacks
Chenjing Bu, Ben Davison, Andrés Ibáñez Núñez +2
We construct decompositions of: (1) the cohomology of smooth stacks, (2) the Borel--Moore homology of -shifted symplectic stacks, and (3) the vanishing cycle cohomology of $(-1)…
Quasi-BPS categories for Higgs bundles
Tudor Pădurariu, Yukinobu Toda
We introduce quasi-BPS categories for twisted Higgs bundles, which are building blocks of the derived category of coherent sheaves on the moduli stack of semistable twisted Higgs b…
Topological K-theory of quasi-BPS categories of symmetric quivers with potential
Tudor Pădurariu, Yukinobu Toda
In previous works, we introduced and studied certain categories called quasi-BPS categories associated to symmetric quivers with potential, preprojective algebras, and local surfac…
The categorical DT/PT correspondence and quasi-BPS categories for local surfaces
Tudor Pădurariu, Yukinobu Toda
We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve classes on local surfaces into products of quasi-BPS categories and Pandharipande-T…
The local categorical DT/PT correspondence
Tudor Pădurariu, Yukinobu Toda
In this paper, we prove the categorical wall-crossing formula for certain quivers containing the three loop quiver, which we call DT/PT quivers. These quivers appear as Ext-quivers…
Categorical and K-theoretic Donaldson-Thomas theory of (part I)
Tudor Pădurariu, Yukinobu Toda
We begin the study of categorifications of Donaldson-Thomas invariants associated with Hilbert schemes of points on the three-dimensional affine space, which we call DT categories.…
Relative stable pairs and a non-Calabi-Yau wall crossing
Tudor Pădurariu
Let be a smooth projective threefold and let be a birational map with . When is Calabi-Yau, Bryan-Steinberg defined enumerative…
Generators for categorical Hall algebras of surfaces
Tudor Pădurariu
For a smooth surface , Porta-Sala defined a categorical Hall algebra generalizing previous work in K-theory of Zhao and Kapranov-Vasserot. We construct semi-orthogonal decomposi…
K-theoretic Hall algebras of quivers with potential as Hopf algebras
Tudor Pădurariu
For a symmetric quiver with potential satisfying a Künneth-type condition, we construct (positive and negative) extensions of its K-theoretic Hall algebra which are bialgeb…
Intersection K-theory
Tudor Pădurariu
For a proper map between varieties over with smooth, we introduce increasing filtrations on $\text{g…
Noncommutative resolutions and intersection cohomology for quotient singularities
Tudor Pădurariu
For a large class of good moduli spaces of symmetric stacks , we define noncommutative motives which can be regarded as categorificatio…
Deformed dimensional reduction
Ben Davison, Tudor Pădurariu
Since its first use by Behrend, Bryan, and Szendrői in the computation of motivic Donaldson-Thomas (DT) invariants of , dimensional reduction has proved…
Groups of order are mixed Tate
Tudor Pădurariu
A natural place to study the Chow ring of the classifying space , for a linear algebraic group, is Voevodsky's triangulated category of motives, inside which Morel and Voev…