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Mirror symmetry for Berglund-Hübsch Milnor fibers
Published 29 Oct 2020 in math.SG and math.AG | (2010.15570v3)
Abstract: We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-H\"ubsch invertible polynomial, mostly proving a conjecture of Yank{\i} Lekili and Kazushi Ueda on homological mirror symmetry. As usual, we begin by calculating the "very affine" Fukaya category; afterwards, we deform it, generalizing an earlier calculation of David Nadler. The main step of our calculation may be understood as determining a certain canonical extension of a perverse schober.
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