45 citations · 402 across the 46 of their papers we have counts for
4 papers · 1 filter
Arc Operads and Arc Algebras
Ralph M Kaufmann, Muriel Livernet, RC Penner
Several topological and homological operads based on families of projectively weighted arcs in bounded surfaces are introduced and studied. The spaces underlying the basic operad a…
On several varieties of cacti and their relations
Ralph M. Kaufmann
Motivated by string topology and the arc operad, we introduce the notion of quasi-operads and consider four (quasi)-operads which are different varieties of the operad of cacti. Th…
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…
Second quantized Frobenius algebras
Ralph M. Kaufmann
We show that given a Frobenius algebra there is a unique notion of its second quantization, which is the sum over all symmetric group quotients of n--th tensor powers, where the qu…