Orbifold Kodaira-Spencer maps and closed-string mirror symmetry for punctured Riemann surfaces
arXiv:2402.14360 · doi:10.1112/jlms.70179
Abstract
When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant TQFT-type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau-Ginzburg mirror of a punctured Riemann surface given as an abelian cover of the pair-of-pants, and prove its closed-string mirror symmetry using the (part of) closed-open map twisted by the dual group action.
49 pages and 13 figures, published version
References in corpus (6)
- A Generalized Construction of Mirror Manifolds
- Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
- An open string analogue of Viterbo functoriality
- Lagrangian Floer theory on compact toric manifolds I
- The monotone wrapped Fukaya category and the open-closed string map
- From symplectic cohomology to Lagrangian enumerative geometry