Berglund–Hübsch homological mirror symmetry for invertible polynomials
Berglund–Hübsch homological mirror symmetry for invertible polynomials
Let be an invertible polynomial, let be a subgroup of its maximal symmetry group , and let and be the transpose polynomial and transpose subgroup, respectively. Write for the Fukaya category associated with and for the -equivariant matrix factorization category.
Berglund–Hübsch homological mirror symmetry conjecture. There exists a derived equivalence between and .
This is the homological mirror symmetry prediction for Berglund–Hübsch dual pairs. The source indicates that homological mirror symmetry has been proved in related works by computation of both sides, so this formulation is recorded as solved.
Sources & referencesView supporting material
Primary source
Cheol-Hyun Cho, Dongwook Choa and Wonbo Jeong, “Berglund-Hübsch mirrors of invertible curve singularities via Floer theory”, arXiv:2410.14678 (2024).
Additional references
2 papers in this index state this conjecture (2020–2024). The statement above is taken from the most recent of them; the others are arXiv:2010.15570.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.