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FJRW-rings and Mirror Symmetry

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arxiv 0903.3220 v2 pith:CUEM3WZH submitted 2009-03-18 math.AG math-phmath.MP

Marc Krawitz (1) , Nathan Priddis (2) , Pedro Acosta (2) , Natalie Bergin (2) , Himal Rathnakumara (2) ((1) University of Michigan , (2) Brigham Young University) This is my paper · ORCID
classification math.AGmath-phmath.MP
keywords symmetryfjrw-ringsmirrorarnolaxiomsbimodalcomputationconjecture
verification ladder T0 review T1 audit T2 compute T3 formal
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We verify the Landau-Ginzburg Mirror Symmetry Conjecture for Arnol'd's list of unimodal and bimodal quasi-homogeneous singularities with G the maximal diagonal symmetry group, and include a discussion of eight axioms which facilitate the computation of FJRW-rings.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Beyond Algebraic Superstring Compactification

    hep-th 2025-02 conditional novelty 5.0 of 10

    Calabi-Yau compactifications and mirror symmetry are conjecturally extended to non-algebraic toric spaces using Laurent deformations and the 'intrinsic limit' completion.

  2. Ricci-Flat Mirror Hypersurfaces in Spaces of General Type

    hep-th 2025-01 conditional novelty 5.0 of 10

    Laurent-polynomial anticanonical sections can smooth Calabi-Yau hypersurfaces in general-type toric/torus manifolds and yield transposition mirrors with computable GLSM data.

  3. Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

    hep-th 2024-03 unverdicted novelty 5.0 of 10

    Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.

  4. Beyond Algebraic Solutions to Stringy Spacetime

    hep-th 2026-05 unverdicted novelty 3.0 of 10

    Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.

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