Soft cover. Condition: Good. No jacket. Corners of cover are lightly rubbed. Ink annotations through page 54. Inside is otherwise clean and unmarked.
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Condition: Good. Volume 1967. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9783540890553.
Language: English
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2009
ISBN 10: 3540890556 ISBN 13: 9783540890553
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Paperback. Condition: New. 2009 ed. The notion of an operad was introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces [6, 47, 60]. Since then, operads have been used fruitfully in many ?elds of mathematics and physics. Indeed, the notion of an operad supplies both a conceptual and e?ective device to handle a variety of algebraic structures in various situations. Many usualcategoriesofalgebras(likethecategoryofcommutativeandassociative algebras, the category of associative algebras, the category of Lie algebras, thecategoryofPoissonalgebras,.)areassociatedtooperads. The main successful applications of operads in algebra occur in defor- tion theory: the theory of operads uni?es the construction of deformation complexes, gives generalizations of powerful methods of rational homotopy, and brings to light deep connections between the cohomology of algebras, the structure of combinatorial polyhedra, the geometry of moduli spaces of surfaces, and conformal ?eld theory.The new proofs of the existence of deformation-quantizations by Kontsevich and Tamarkin bring together all these developments and lead Kontsevich to the fascinating conjecture that the motivic Galois group operates on the space of deformation-quantizations (see [35]). The purpose of this monograph is to study not operads themselves, but modules over operads as a device to model functors between categories of algebras as e?ectively as operads model categories of algebras. Modules overoperads occur naturally when one needs to representuniv- sal complexes associated to algebras over operads (see [14, 54]). Modules overoperads havenot been studied as extensively as operads yet.
Seller: Ria Christie Collections, Uxbridge, United Kingdom
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Couverture souple. Condition: Bon. Modules Over Operads and Functors Benoit Fresse Exemplaire provenant d'une bibliothèque institutionnelle, portant les cachets d'appartenance ainsi que le tampon de déclassement officiel. Intégrité du texte parfaitement préservée.
Language: English
Published by Springer Vieweg, Springer, 2009
ISBN 10: 3540890556 ISBN 13: 9783540890553
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The notion of an operad supplies both a conceptual and effective device to handle a variety of algebraic structures in various situations. Operads were introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces. Since then, operads have been used fruitfully in many fields of mathematics and physics.This monograph begins with a review of the basis of operad theory. The main purpose is to study structures of modules over operads as a new device to model functors between categories of algebras as effectively as operads model categories of algebras.
Language: English
Published by MP-AMM American Mathematical, 2017
ISBN 10: 1470434814 ISBN 13: 9781470434816
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Language: English
Published by American Mathematical Society, 2017
ISBN 10: 1470434822 ISBN 13: 9781470434823
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Published by American Mathematical Society, 2017
ISBN 10: 1470434822 ISBN 13: 9781470434823
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Published by American Mathematical Society, 2017
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Hardcover. Condition: Brand New. 563 pages. 10.25x7.50x1.50 inches. In Stock.
Language: English
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2009
ISBN 10: 3540890556 ISBN 13: 9783540890553
Seller: Rarewaves.com UK, London, United Kingdom
Paperback. Condition: New. 2009 ed. The notion of an operad was introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces [6, 47, 60]. Since then, operads have been used fruitfully in many ?elds of mathematics and physics. Indeed, the notion of an operad supplies both a conceptual and e?ective device to handle a variety of algebraic structures in various situations. Many usualcategoriesofalgebras(likethecategoryofcommutativeandassociative algebras, the category of associative algebras, the category of Lie algebras, thecategoryofPoissonalgebras,.)areassociatedtooperads. The main successful applications of operads in algebra occur in defor- tion theory: the theory of operads uni?es the construction of deformation complexes, gives generalizations of powerful methods of rational homotopy, and brings to light deep connections between the cohomology of algebras, the structure of combinatorial polyhedra, the geometry of moduli spaces of surfaces, and conformal ?eld theory.The new proofs of the existence of deformation-quantizations by Kontsevich and Tamarkin bring together all these developments and lead Kontsevich to the fascinating conjecture that the motivic Galois group operates on the space of deformation-quantizations (see [35]). The purpose of this monograph is to study not operads themselves, but modules over operads as a device to model functors between categories of algebras as e?ectively as operads model categories of algebras. Modules overoperads occur naturally when one needs to representuniv- sal complexes associated to algebras over operads (see [14, 54]). Modules overoperads havenot been studied as extensively as operads yet.
Language: English
Published by American Mathematical Society, 2017
ISBN 10: 1470434814 ISBN 13: 9781470434816
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hardcover. Condition: Sehr gut. 532 Seiten; 9781470434816.2 Gewicht in Gramm: 2.
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Published by MP-AMM American Mathematical, 2017
ISBN 10: 1470434822 ISBN 13: 9781470434823
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ISBN 10: 1470434822 ISBN 13: 9781470434823
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Hardback. Condition: New. The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.
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Published by American Mathematical Society, 2017
ISBN 10: 1470434814 ISBN 13: 9781470434816
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Published by American Mathematical Society, 2017
ISBN 10: 1470434822 ISBN 13: 9781470434823
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Language: English
Published by American Mathematical Society, US, 2017
ISBN 10: 1470434822 ISBN 13: 9781470434823
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Hardback. Condition: New. The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.