Representability of derived moduli stacks for nonlinear elliptic PDE solutions follows from an Artin-Lurie theorem after introducing C^∞-bornological rings that embed into derived bornological geometry.
Representability of elliptic moduli problems in derived C-infinity geometry
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
citing papers explorer
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A Bornological Perspective on the Representability of Derived Moduli Stacks of Solutions to PDEs
Representability of derived moduli stacks for nonlinear elliptic PDE solutions follows from an Artin-Lurie theorem after introducing C^∞-bornological rings that embed into derived bornological geometry.
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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.