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Three Hopf algebras and their common simplicial and categorical background

Author
Galvez, M.; Kaufmann, R.L.; Tonks, A.
Type of activity
Report
Date
2016-07
Project funding
Geometry and topology of varieties, algebra and applications
Repository
http://hdl.handle.net/2117/102199 Open in new window
URL
https://arxiv.org/abs/1607.00196 Open in new window
Abstract
We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebras of Goncharov for multiple zeta values, that of Connes--Kreimer for renormalization, and a Hopf algebra constructed by Baues to study double loop spaces. We show that these examples can be successively unified by considering simplicial objects, cooperads with multiplication and Feynman categories at the ultimate level. These considerati...
Citation
Galvez, M., Kaufmann, R.L., Tonks, A. "Three Hopf algebras and their common simplicial and categorical background". 2016.
Keywords
Hopf algebras
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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