76 citations · 144 across the 12 of their papers we have counts for
14 papers
On the moment measure conjecture
Jochen Heinloth, Xucheng Zhang
The moment measure conjecture of Bialynicki-Birula and Sommese gives a combinatorial characterization of all open substacks of a global quotient stack for a torus action on a norma…
Cartan-Iwahori-Matsumoto decompositions for reductive groups
Jarod Alper, Daniel Halpern-Leistner, Jochen Heinloth
We provide a short and self-contained argument for the existence of Cartan-Iwahori-Matsumoto decompositions for reductive groups.
Existence of moduli spaces for algebraic stacks
Jarod Alper, Daniel Halpern-Leistner, Jochen Heinloth
We provide necessary and sufficient conditions for when an algebraic stack admits a good moduli space and prove a semistable reduction theorem for points of algebraic stacks equipp…
Irreducibility of moduli of semistable Chains and applications to U(p,q)-Higgs bundles
Steven Bradlow, Oscar Garcia-Prada, Peter Gothen +1
We give necessary and sufficient conditions for moduli spaces of semistable chains on a curve to be irreducible and non-empty. This gives information on the irreducible components…
Hilbert-Mumford stability on algebraic stacks and applications to -bundles on curves
Jochen Heinloth
In these notes we reformulate the classical Hilbert-Mumford criterion for GIT stability in terms of algebraic stacks, this was independently done by Halpern-Leinster. We also give…
The intersection form on moduli spaces of twisted PGL_n-Higgs bundles vanishes
Jochen Heinloth
Hausel and Rodriguez-Villegas conjectured that the intersection form on the moduli space of stable PGL_n-Higgs bundles on a curve vanishes if the degree is coprime to n. In this no…