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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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The Frobenius Manifold Structure of the Landau-Ginzburg A-model for Sums of An and Dn Singularities

Webb, Rachel Megan 27 June 2013 (has links) (PDF)
In this thesis we compute the Frobenius manifold of the Landau-Ginzburg A-model (FJRW theory) for certain polynomials. Specifically, our computations apply to polynomials that are sums of An and Dn singularities, paired with the corresponding maximal symmetry group. In particular this computation applies to several K3 surfaces. We compute the necessary correlators using reconstruction, the concavity axiom, and new techniques. We also compute the Frobenius manifold of the D3 singularity.
K3 surfaces
reconstruction lemma
concavity axiom
Frobenius algebra
Frobenius manifold
Landau-Ginzburg mirror symmetry
FJRW theory
Mathematics

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