collaborators

5 papers

math.AG2026

Relative étale slices and cohomology of moduli spaces

Mark Andrea de Cataldo, Andres Fernandez Herrero, Andrés Ibáñez Núñez

We use techniques of Alper-Hall-Rydh to prove a local structure theorem for smooth morphisms between smooth stacks around points with linearly reductive stabilizers. This implies t…

math.AG2026

Stability and disconnected groups

Andres Fernandez Herrero, Andrés Ibáñez Núñez

We study the notion of semistability for principal bundles over curves with possibly disconnected reductive structure group. We establish a new characterization of the behavior of…

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.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…