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2003, ISBN: 9780511075735

ID: 9780511075735

This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work. Frobenius Algebras and 2-D Topological Quantum Field Theories: This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work., Cambridge University Press

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12, ISBN: 9780511075735

ID: 101159780511075735

This book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the r This book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work. Mathematics, Science & Nature, Frobenius Algebras and 2D Topological Quantum Field Theories~~ Kock, Joachim~~Mathematics~~Science & Nature~~9780511075735, en, Frobenius Algebras and 2D Topological Quantum Field Theories, Kock, Joachim, 9780511075735, Cambridge University Press, 12/01/2003, , , , Cambridge University Press, 12/01/2003

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2003, ISBN: 9780511075735

ID: 125807142

This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work. Frobenius Algebras and 2-D Topological Quantum Field Theories eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen>Technik, Cambridge University Press

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Nr. E9780511075735 Shipping costs:Disponibile spedizione veloce in Italia con corriere espresso (1-2 gg). Verifica costi e condizioni sul sito., 3 - 4 gg, zzgl. Versandkosten, plus shipping costs
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** Details of the book - Frobenius Algebras and 2D Topological Quantum Field Theories**

EAN (ISBN-13): 9780511075735

Publishing year: 2003

Publisher: Cambridge University Press

Book in our database since 13.09.2007 15:20:09

Book found last time on 13.06.2017 14:39:20

ISBN/EAN: 9780511075735

ISBN - alternate spelling:

978-0-511-07573-5

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