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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy;

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Algebraic Structure of String Field Theory

from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view;

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Triangulated Categories of Mixed Motives

The primary aim of this monograph is to achieve part of Beilinson's program on mixed motives using Voevodsky's theories of A1-homotopy and;

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Galois Covers, Grothendieck-Teichmuller Theory and Dessins d'Enfants

on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7;

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Homotopical Quantum Field Theory

This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using;

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K-Theory

variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and;

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London Mathematical Society Lecture Note Series

the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are;

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Stable Stems

The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context;

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Algebraic Methods In Unstable Homotopy Theory

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which;

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An Introduction to Homotopy Theory

, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters;

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Real Homotopy of Configuration Spaces

This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces;

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On Operads, Bimodules and Analytic Functors

}_{mathcal{V}}$ of operad bimodules, that has operads as $0$-cells, operad bimodules as $1$-cells and operad bimodule maps as 2-cells, and prove that;

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Graded Rings Graded Grothendieck Groups

This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant;

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Nonsymmetric Operads in Combinatorics

Operads are algebraic devices offering a formalization of the concept of operations with several inputs and one output. Such operations can;

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Syzygies and Homotopy Theory

researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well;

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Commutator Calculus and Groups of Homotopy Classes

A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author;

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London Mathematical Society Lecture Note Series

cohomology detects dimension, and secondly the realization problem, which asks whether every algebraic 2-complex is geometrically realizable. The;

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London Mathematical Society Lecture Note Series

representation theory, plus an introduction to the etale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the etale;

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In the Tradition of Ahlfors-Bers, VII

of geometric function theory, Teichmuller theory, hyperbolic geometry, and partial differential equations. Today we see the influence of Ahlfors and;

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Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79

of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmuller spaces, Jacobian;

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Algebraic Homotopy

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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Global Homotopy Theory

bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible;

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Operads of Wiring Diagrams

algebra is also provided. In the final part, the author constructs operad maps between the various operads of wiring diagrams and identifies their;

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Geometric Galois Actions: Volume 2, The Inverse Galois Probl

) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology.;

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Cambridge Studies in Advanced Mathematics

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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Categorical Homotopy Theory

This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two;

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Formality of the Little N-disks Operad

The little N-disks operad, B, along with its variants, is an important tool in homotopy theory. It is defined in terms of configurations;

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