QuiverTools implements, in SageMath and Julia, algorithms for canonical decompositions, stability, Harder-Narasimhan types, Teleman quantization bounds, and Chow ring computations for quiver moduli spaces.
Rigidity and Schofield's partial tilting conjecture for quiver moduli
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abstract
We explain how Teleman quantization can be applied to moduli spaces of quiver representations to compute the higher cohomology of the endomorphism bundle of the universal bundle. We use this to prove Schofield's partial tilting conjecture, and to show that moduli spaces of quiver representations are (infinitesimally) rigid as varieties.
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The QuiverTools package for SageMath and Julia
QuiverTools implements, in SageMath and Julia, algorithms for canonical decompositions, stability, Harder-Narasimhan types, Teleman quantization bounds, and Chow ring computations for quiver moduli spaces.