Homological Berglund-H\"ubsch mirror symmetry for curve singularities

12 Mar 2020 Habermann Matthew Smith Jack

Given a two-variable invertible polynomial, we show that its category of maximally-graded matrix factorisations is quasi-equivalent to the Fukaya-Seidel category of its Berglund-H\"ubsch transpose. This was previously shown for Brieskorn-Pham and $D$-type singularities by Futaki-Ueda... (read more)

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  • SYMPLECTIC GEOMETRY
  • ALGEBRAIC GEOMETRY