Description

Book Synopsis


Table of Contents
  • 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

Homotopy of Operads and GrothendieckTeichmuller

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    A Hardback by Benoit Fresse

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      View other formats and editions of Homotopy of Operads and GrothendieckTeichmuller by Benoit Fresse

      Publisher: MP-AMM American Mathematical
      Publication Date: 5/30/2017 12:00:00 AM
      ISBN13: 9781470434816, 978-1470434816
      ISBN10: 1470434814

      Description

      Book Synopsis


      Table of Contents
      • 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

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