Grothendieck-Teichmueller group, operads and graph complexes: a survey
Sergei Merkulov
TL;DR
This survey introduces the Grothendieck-Teichmueller group and Drinfeld associators through operads and graph complexes, providing a comprehensive overview for researchers interested in their mathematical structures.
Contribution
It offers a self-contained introduction connecting the theory of the Grothendieck-Teichmueller group with operads and graph complexes, clarifying complex concepts for new learners.
Findings
Clarifies the relationship between Grothendieck-Teichmueller group and operads
Explains the role of graph complexes in understanding associators
Provides foundational knowledge for further research in the area
Abstract
This paper attempts to provide a more or less self-contained introduction into theory of the Grothendieck-Teichmueller group and Drinfeld associators using the theory of operads and graph complexes.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models