43 citations · 69 across the 5 of their papers we have counts for
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Singularities with Symmetries, orbifold Frobenius algebras and Mirror Symmetry
Ralph M. Kaufmann
Previously, we introduced a duality transformation for Euler --Frobenius algebras. Using this transformation, we prove that the simple singularities and Pham singulariti…
Pointed Admissible G-Covers and G-equivariant Cohomological Field Theories
Tyler J. Jarvis, Ralph Kaufmann, Takashi Kimura
For any finite group G we define the moduli space of pointed admissible G-covers and the concept of a G-equivariant cohomological field theory (G-CohFT), which, when G is the trivi…
The algebra of discrete torsion
Ralph M. Kaufmann
We analyze the algebraic structures of G--Frobenius algebras which are the algebras associated to global group quotient objects. Here G is any finite group. These algebras turn out…
Orbifolding Frobenius Algebras
Ralph M. Kaufmann
We study the general theory of Frobenius algebras with group actions. These structures arise when one is studying the algebraic structures associated to a geometry stemming from a…
The tensor product in the theory of Frobenius manifolds
Ralph M. Kaufmann
We introduce the operation of forming the tensor product in the theory of analytic Frobenius manifolds. Building on the results for formal Frobenius manifolds which we extend to th…