6 problems
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Joyce–Safronov functor conjecture for shifted Lagrangians
Let be a -symplectic space and let be a -Lagrangian. Let denote the category of matrix factorisations associated with , and let ……
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Kontsevich–Soibelman matrix factorisation category conjecture
Let be a -symplectic space, meaning a space equipped with a -symplectic structure. For example, if is the critical locus of a function on a smooth space …
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Inductive structure of standard forms for matrix-factorisation blocks
For the standard forms of the diagonal subblocks, the displayed cases and the proposed general case have block-recursive form, with t…
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Restricted similarity transformations for standard matrix-factorisation forms
Restricted-transformation conjecture. It is enough to use similarity transformations with these two properties when constructing the standard forms, although this is not guaranteed…
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The defect-fusion identification of the minimal-model symmetry defect
In the Kazama–Suzuki model, let be a defect mapping the factorisation to . Let be a defect in the minimal-model t…
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The monoidal equivalence conjecture for the rational matrix bi-factorisation category
Let be a positive integer. Let be the full subcategory of the R-charge-zero subcategory of matrix bi-factorisations of generated under direc…