Orbifold Milnor lattice and orbifold intersection form

DOI10.1007/s00229-017-0945-4zbMath1393.14056arXiv1607.08740OpenAlexW2963672619MaRDI QIDQ1702668

Wolfgang Ebeling, Sabir M. Gusein-Zade

Publication date: 28 February 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08740

zbMATH Keywords

mirror symmetryMilnor latticeLandau-Ginzburg modelsMilnor fibreCoxeter-Dynkin diagramsSeifert formBerglund-Hübsh-Henningson dualityFJRW-theoryinvertible polynomialsquantum cohomology groupquantum singularity theory

Mathematics Subject Classification ID

Topological invariants on manifolds (58K65) Symmetries, equivariance on manifolds (58K70) Group actions on affine varieties (14R20) Local complex singularities (32S05) Topology and geometry of orbifolds (57R18)

Related Items

Mirror symmetry on levels of non-abelian Landau-Ginzburg orbifolds, Lattices for Landau-Ginzburg orbifolds

Cites Work

• Orbifold E-functions of dual invertible polynomials
• The Witten equation, mirror symmetry, and quantum singularity theory
• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• A generalized construction of mirror manifolds
• FJRW-rings and mirror symmetry
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• Intersection matrices for certain singularities
• Orbifold Zeta Functions for Dual Invertible Polynomials
• The McKay correspondence for finite subgroups of SL(3,\C)
• Mirror Symmetry between Orbifold Curves and Cusp Singularities with Group Action