Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
II: Stability measures and invariants, preprint v1 (27 Feb
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Generalizes Joyce vertex algebras to non-linear enumerative problems and constructs twisted modules in the orthosymplectic case, proposing variants for different enumerative invariants.
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Semiorthogonal decompositions for stacks
Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
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Modules and generalizations of Joyce vertex algebras
Generalizes Joyce vertex algebras to non-linear enumerative problems and constructs twisted modules in the orthosymplectic case, proposing variants for different enumerative invariants.