The Solomon–Verbitsky Fukaya/deformation-quantisation quasi-isomorphism conjecture
The Solomon–Verbitsky Fukaya/deformation-quantisation quasi-isomorphism conjecture
Let be a Solomon–Verbitsky collection of Lagrangian submanifolds in a holomorphic symplectic manifold . Let be the local Fukaya category and let be the full differential graded subcategory containing one chosen quantised orientation for each Lagrangian. Solomon–Verbitsky correspondence conjecture. There is a quasi-isomorphism
This is proposed as a local form of the generalised Riemann–Hilbert correspondence and as a comparison between the Fukaya and de Rham models; it is not proved in the source.
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Sources & referencesView supporting material
Primary source
Borislav Mladenov, “Differential graded categories in holomorphic symplectic geometry”, arXiv:2604.06630 (2026).
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