Abstract

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.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2013-06-27

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd6352

Keywords

K3 surfaces, reconstruction lemma, concavity axiom, Frobenius algebra, Frobenius manifold, Landau-Ginzburg mirror symmetry, FJRW theory

Included in

Mathematics Commons

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