12 papers · 1 filter
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…