8 papers
Semiorthogonal decompositions for stacks
Chenjing Bu, Tudor PÄdurariu, 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…
Modules and generalizations of Joyce vertex algebras
Chenjing Bu
Joyce vertex algebras are vertex algebra structures defined on the homology of certain -linear moduli stacks, and are used to express wall-crossing formulae for Joyce's…
Intrinsic Donaldson-Thomas theory. I. Component lattices of stacks
Chenjing Bu, Daniel Halpern-Leistner, Andrés Ibáñez Núñez +1
This is the first paper in a series on intrinsic Donaldson-Thomas theory, where we develop a new framework for enumerative geometry that allows the generalization of constructions…
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)…
Enumerative invariants in self-dual categories. I. Motivic invariants
Chenjing Bu
In this series of papers, we propose a theory of enumerative invariants counting self-dual objects in self-dual categories. Ordinary enumerative invariants in abelian categories ca…
Orthosymplectic Donaldson-Thomas theory
Chenjing Bu
We construct and study Donaldson-Thomas invariants counting orthogonal and symplectic objects in linear categories, which are a generalization of the usual Donaldson-Thomas invaria…