64 citations · 361 across the 27 of their papers we have counts for
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Decomposition spaces in Combinatorics
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
A decomposition space (also called 2-Segal space) is a simplicial object satisfying an exactness condition weaker than the Segal condition: just as the Segal condition expresses co…
Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects
Imma Gálvez-Carrillo, Ralph M. Kaufmann, Andrew Tonks
We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for m…
Homotopy linear algebra
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
By homotopy linear algebra we mean the study of linear functors between slices of the -category of -groupoids, subject to certain finiteness conditions. After some…