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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Proves Lagrangian correspondences in nonabelian Hodge theory for perfect complexes and establishes canonical shifted pretwistor structures on the Deligne-Hitchin-Simpson moduli stack over P^1_C.
Models Rozansky-Witten theory of T*X via sheaves of categories from Perf(X×A¹), constructing hybrid Lagrangian objects whose Homs are matrix factorizations.
citing papers explorer
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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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Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures
Proves Lagrangian correspondences in nonabelian Hodge theory for perfect complexes and establishes canonical shifted pretwistor structures on the Deligne-Hitchin-Simpson moduli stack over P^1_C.
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Modeling Rozansky-Witten Theory with Sheaves of Categories
Models Rozansky-Witten theory of T*X via sheaves of categories from Perf(X×A¹), constructing hybrid Lagrangian objects whose Homs are matrix factorizations.