Abstract

Landau-Ginzburg Mirror Symmetry provides for the construction of two algebraic objects, called the A- and B-models. Special cases of these models–constructed using invertible polynomials and abelian symmetry groups–are well understood. In this thesis, we consider generalizations of the B-model, and specifically address the associativity of the multiplication in these models. We also prove an explicit B-model isomorphism for a class of polynomials in three variables.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

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

Date Submitted

2016-03-01

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd8339

Keywords

Mirror Symmetry, Frobenius Algebras, Algebraic Geometry

Included in

Mathematics Commons

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