Mirror Symmetry between Orbifold Curves and Cusp Singularities with Group Action

DOI10.1093/imrn/rns115zbMath1314.14083arXiv1103.5367OpenAlexW2963775237MaRDI QIDQ5250697

Wolfgang Ebeling, Atsushi Takahashi

Publication date: 22 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5367

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Milnor fibration; relations with knot theory (32S55) Local complex singularities (32S05) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (16)

Homological mirror symmetry for invertible polynomials in two variables ⋮ Orbifold E-functions of dual invertible polynomials ⋮ Borcea–Voisin Calabi–Yau threefolds and invertible potentials ⋮ Strange duality between hypersurface and complete intersection singularities ⋮ Mirror symmetry on levels of non-abelian Landau-Ginzburg orbifolds ⋮ Enhanced equivariant Saito duality ⋮ Equivariant approach to weighted projective curves ⋮ Derived factorization categories of non‐Thom–Sebastiani‐type sums of potentials ⋮ Orbifold Jacobian algebras for invertible polynomials ⋮ Lattices for Landau-Ginzburg orbifolds ⋮ Lagrangian tori in four-dimensional Milnor fibres ⋮ Orbifold Milnor lattice and orbifold intersection form ⋮ Lagrangian Floer potential of orbifold spheres ⋮ A geometric definition of Gabrielov numbers ⋮ Mirror symmetry for nonabelian Landau-Ginzburg models ⋮ Higher-Order Spectra, Equivariant Hodge–Deligne Polynomials, and Macdonald-Type Equations

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