Homotopy of Operads and Grothendieck-Teichmuller Groups
American Mathematical Society (Verlag)
978-1-4704-3481-6 (ISBN)
Benoit Fresse, Universite de Lille 1, Villeneuve d'Ascq, France.
From operads to Grothendieck-Teichmuller groups. The general theory of operads: The basic concepts of the theory of operads
The definition of operadic composition structures revisited
Symmetric monoidal categories and operads
Braids and $E_n$-operads: The little discs model of $E_n$-operads
Braids and the recognition of $E_2$-operads
The magma and parenthesized braid operators
Hopf algebras and the Malcev completion: Hopf algebras
The Malcev completion for groups
The Malcev completion for groupoids and operads
The operadic definition of the Grothendieck-Teichmuller group: The Malcev completion of the braid operads and Drinfeld's associators
The Grothendieck-Teichmuller group
A glimpse at the Grothendieck program
Appendices: Trees and the construction of free operads
The cotriple resolution of operads
Glossary of notation
Bibliography
Index
Erscheinungsdatum | 08.06.2017 |
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Reihe/Serie | Mathematical Surveys and Monographs |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 1180 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-3481-4 / 1470434814 |
ISBN-13 | 978-1-4704-3481-6 / 9781470434816 |
Zustand | Neuware |
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