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Rational Homotopy Theory Ii

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and;

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Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113

includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K-theory of spaces, and other subjects.;

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Commutator Calculus and Groups of Homotopy Classes

extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent;

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London Mathematical Society Lecture Note Series

present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and etale homotopy, all written from;

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Algebraic Homotopy

, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful;

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Cambridge Studies in Advanced Mathematics

, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful;

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Triangulated Categories of Mixed Motives

. They can be characterized by one of the following properties: existence of transfers, universality of rational algebraic K-theory, h-descent;

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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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Cubical Homotopy Theory

Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological;

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Algebraic Structure of String Field Theory

strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy;

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Algebraic Models in Geometry

Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with;

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Homotopy Theory

This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday;

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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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Real Homotopy of Configuration Spaces

the work of Campos, Ducoulombier, Lambrechts, Willwacher, and the author, the book covers a vast array of topics, including rational homotopy;

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An Introduction to Homotopy Theory

Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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Foundations of Stable Homotopy Theory

The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles;

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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128

Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on;

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Homotopy Theory of Schemes

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth;

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Surgery on Compact Manifolds

piecewise linear manifolds (1967), Wall's classification of homotopy tori (1969), and Kirby and Siebenmann's classification theory of topological;

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Global Homotopy Theory

Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant;

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Simplicial Homotopy Theory

theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers;

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Model Categories

category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One;

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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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Syzygies and Homotopy Theory

The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well;

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