{"product_id":"homotopy-of-operads-and-grothendieckteichmuller-parts-1-and-2-9781470434809","title":"Homotopy of Operads and GrothendieckTeichmuller","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eContents for Part 1: \u003c\/li\u003e\n\u003cli\u003eFrom operads to Grothendieck-Teichmuller groups. The general theory of operads: The basic concepts of the theory of operads\u003c\/li\u003e\n\u003cli\u003eThe definition of operadic composition structures revisited\u003c\/li\u003e\n\u003cli\u003eSymmetric monoidal categories and operads\u003c\/li\u003e\n\u003cli\u003eBraids and $E_n$-operads: The little discs model of $E_n$-operads\u003c\/li\u003e\n\u003cli\u003eBraids and the recognition of $E_2$-operads\u003c\/li\u003e\n\u003cli\u003eThe magma and parenthesized braid operators\u003c\/li\u003e\n\u003cli\u003eHopf algebras and the Malcev completion: Hopf algebras\u003c\/li\u003e\n\u003cli\u003eThe Malcev completion for groups\u003c\/li\u003e\n\u003cli\u003eThe Malcev completion for groupoids and operads\u003c\/li\u003e\n\u003cli\u003eThe operadic definition of the Grothendieck-Teichmuller group: The Malcev completion of the braid operads and Drinfeld's associators\u003c\/li\u003e\n\u003cli\u003eThe Grothendieck-Teichmuller group\u003c\/li\u003e\n\u003cli\u003eA glimpse at the Grothendieck program\u003c\/li\u003e\n\u003cli\u003eAppendices: Trees and the construction of free operads\u003c\/li\u003e\n\u003cli\u003eThe cotriple resolution of operads\u003c\/li\u003e\n\u003cli\u003eGlossary of notation\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003eContents for Part 2: \u003c\/li\u003e\n\u003cli\u003eHomotopy theory and its applications to operads. General methods of homotopy theory: Model categories and homotopy theory\u003c\/li\u003e\n\u003cli\u003eMapping spaces and simplicial model categories\u003c\/li\u003e\n\u003cli\u003eSimplicial structures and mapping spaces in general model categories\u003c\/li\u003e\n\u003cli\u003eCofibrantly generated model categories\u003c\/li\u003e\n\u003cli\u003eModules, algebras, and the rational homotopy of spaces: Differential graded modules, simplicial modules, and cosimplicial modules\u003c\/li\u003e\n\u003cli\u003eDifferential graded algebras, simplicial algebras, and cosimplicial algebras\u003c\/li\u003e\n\u003cli\u003eModels for the rational homotopy of spaces\u003c\/li\u003e\n\u003cli\u003eThe (rational) homotopy of operads: The model category of operads in simplicial sets\u003c\/li\u003e\n\u003cli\u003eThe homotopy theory of (Hopf) cooperads\u003c\/li\u003e\n\u003cli\u003eModels for the rational homotopy of (non-unitary) operads\u003c\/li\u003e\n\u003cli\u003eThe homotopy theory of (Hopf) $\\Lambda$-cooperads\u003c\/li\u003e\n\u003cli\u003eModels for the rational homotopy of unitary operads\u003c\/li\u003e\n\u003cli\u003eApplications of the rational homotopy to $E_n$-operads: Complete Lie algebras and rational models of classifying spaces\u003c\/li\u003e\n\u003cli\u003eFormality and rational models of $E_n$-operads\u003c\/li\u003e\n\u003cli\u003eThe computation of homotopy automorphism spaces of operads: Introduction to the results of the computations for the $E_n$-operads\u003c\/li\u003e\n\u003cli\u003eThe applications of homotopy spectral sequences: Homotopy spsectral sequences and mapping spaces of operads\u003c\/li\u003e\n\u003cli\u003eApplications of the cotriple cohomology of operads\u003c\/li\u003e\n\u003cli\u003eApplications of the Koszul duality of operads\u003c\/li\u003e\n\u003cli\u003eThe case of $E_n$-operads: The applications of the Koszul duality for $E_n$-operads\u003c\/li\u003e\n\u003cli\u003eThe interpretation of the result of the spectral sequence in the case of $E_2$-operads\u003c\/li\u003e\n\u003cli\u003eConclusion: A survey of further research on operadic mapping spaces and their applications: Graph complexes and $E_n$-operads\u003c\/li\u003e\n\u003cli\u003eFrom $E_n$-operads to embedding spaces\u003c\/li\u003e\n\u003cli\u003eAppendices: Cofree cooperads and the bar duality of operads\u003c\/li\u003e\n\u003cli\u003eGlossary of notation\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041338888535,"sku":"9781470434809","price":196.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470434809.jpg?v=1740182820","url":"https:\/\/bookcurl.com\/products\/homotopy-of-operads-and-grothendieckteichmuller-parts-1-and-2-9781470434809","provider":"Book Curl","version":"1.0","type":"link"}