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
    Also in:
    Algebra Algebraic topology

    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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