43 citations · 69 across the 5 of their papers we have counts for
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math.AG2003★ 1 cited
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…
math.QA2003★ 4 cited
On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra
Ralph M. Kaufmann
Using a cell model for the little discs operad in terms of spineless cacti we give a minimal common topological operadic formalism for three a priori disparate algebraic structures…
math.AG2003★ 43 cited
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…