activity
20222026
most citedCounting sheaves on curves

2 citations · 3 across the 9 of their papers we have counts for

collaborators

10 papers

math.AG2026

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…

math.AG2025

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…

math.AG2025

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…

math.AG2025

Intrinsic Donaldson-Thomas theory. II. Stability measures and invariants

Chenjing Bu, Andrés Ibáñez Núñez, Tasuki Kinjo

This is the second paper in a series on intrinsic Donaldson-Thomas theory, a framework for studying the enumerative geometry of general algebraic stacks. In this paper, we present…

math.AG2025

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…

math.AG2025

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)…

math.AG2024★ 1 cited

A motivic integral identity for -shifted symplectic stacks

Chenjing Bu

We prove a motivic integral identity relating the motivic Behrend function of a -shifted symplectic stack to that of its stack of graded points. This generalizes analogous id…

math.AG2023

Enumerative invariants in self-dual categories. II. Homological invariants

Chenjing Bu

This is the second paper in a series on enumerative invariants counting self-dual objects in self-dual categories, and is a sequal to (arXiv:2302.00038). Ordinary enumerative invar…

math.AG2023

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…

math.AG2022★ 2 cited

Counting sheaves on curves

Chenjing Bu

We compute Joyce's (arXiv:2111.04694) enumerative invariants for semistable rank degree coherent sheaves on a complex p…