45 citations · 402 across the 46 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AT2021★ 1 cited
Koszul Feynman Categories
Ralph M. Kaufmann, Benjamin C. Ward
A cubical Feynman category, introduced by the authors in previous work, is a category whose functors to a base category behave like operads in . In this…
math.AT2021★ 1 cited
A combinatorial -algebra structure on cubical cochains and the Cartan-Serre map
Ralph M. Kaufmann, Anibal M. Medina-Mardones
Cubical cochains are equipped with an associative product, dual to the Serre diagonal, lifting the graded commutative structure in cohomology. In this work we introduce through exp…
math.QA2021★ 2 cited
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…