Construction and Isomorphism of Landau-Ginzburg B-Model Frobenius Algebras

Résumé du livre

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.