4 problems
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The Deligne conjecture for deformation complexes
Let be an algebra, an -module, and let the deformation complex be the controlling differential graded Lie algebra associated with the deformation problem of , such as…
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The twisted holography conjecture for the planar global symmetry algebra
Let be the dg Lie algebra formed by the modes of quasi-primary single-trace operators whose linear planar OPE terms and BRST action define the dg-Lie structu…
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Kontsevich-formality-independent construction of the deformation-quantization bijection
Formality-independent bijection conjecture. There is a construction of a bijection between and the set of formal series in $$ which bypasses the use of Kontsevich's f…
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Baues–Lemaire conjecture on strictification and Quillen's Lie algebra model
Let be a manifold, let be the -algebra associated to a Sullivan model of , let denote its strictification, and let…