Homological mirror symmetry for invertible polynomials in two variables

  • Matthew Habermann

    Universität Hamburg, Germany
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Abstract

In this paper, we give a proof of homological mirror symmetry for two variable invertible polynomials, where the symmetry group on the B-side is taken to be maximal. The proof involves an explicit gluing construction of the Milnor fibres, and, as an application, we prove derived equivalences between certain nodal stacky curves, some of whose irreducible components have non-trivial generic stabiliser.

Cite this article

Matthew Habermann, Homological mirror symmetry for invertible polynomials in two variables. Quantum Topol. 13 (2022), no. 2, pp. 207–253

DOI 10.4171/QT/163