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math.AG2023
The structure of the moduli of gauged maps from a smooth curve
Daniel Halpern-Leistner, Andres Fernandez Herrero
For a reductive group , Harder-Narasimhan theory gives a structure theorem for principal bundles on a smooth projective curve . A bundle is either semistable, or it admit…
math.AG2016★ 4 cited
Theta-stratifications, Theta-reductive stacks, and applications
Daniel Halpern-Leistner
These are expanded notes on a lecture of the same title at the 2015 AMS summer institute in algebraic geometry. We give an introduction and overview of the "beyond geometric invari…
math.AG2016★ 16 cited
The equivariant Verlinde formula on the moduli of Higgs bundles
Daniel Halpern-Leistner
We prove an analog of the Verlinde formula on the moduli space of semistable meromorphic G-Higgs bundles over a smooth curve for a reductive group G whose fundamental group is free…