45 citations · 402 across the 46 of their papers we have counts for
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Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics
Ralph M. Kaufmann, Yang Mo
We develop an algebraic theory of colored, semigrouplike-flavored and pathlike co-, bi- and Hopf algebras. This is the right framework in which to discuss antipodes for bialgebras…
A proof of a cyclic version of Deligne's conjecture via Cacti
Ralph M. Kaufmann
In this note, we show that the normalized Hochschild co--chains of an associative algebra with a non--degenerate, symmetric, invariant inner product are an algebra over a chain mod…
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…
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…