The paper proves that smooth hypersurfaces in complex projective space of degree a > 2n+1 have a Fukaya category equivalent to a category of equivariant matrix factorizations.
Efimov, Homological mirror symmetry for curves of higher genus, Adv
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On the Fukaya categories of projective hypersurfaces of general type
The paper proves that smooth hypersurfaces in complex projective space of degree a > 2n+1 have a Fukaya category equivalent to a category of equivariant matrix factorizations.