Habermann, Matthew (2025) Homological mirror symmetry for nodal stacky curves. Mathematical Research Letters, 32 (1). pp. 177-237. ISSN 1073-2780
Full text not available from this repository.Abstract
Abstract In this paper, we establish homological mirror symmetry where the A-model is a finite quotient of the Milnor fibre of an invertible curve singularity, proving a conjecture of Lekili and Ueda from [LU22] in this dimension. Our strategy is to view the B-model as a cycle of stacky projective lines and generalise the approach of Lekili and Polishchuk in [LP17] to allow the irreducible components of the curve to have non-trivial generic stabiliser. We then prove that the A-model which results from this strategy is graded symplectomorphic to the corresponding quotient of the Milnor fibre.