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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: 5583479
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. 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. eBooks, Science & Geography~~Mathematics~~Applied Mathematics, Frobenius Algebras And 2-d Topological Quantum Field Theories~~EBook~~9780511075735~~Joachim Kock, , Frobenius Algebras And 2-d Topological Quantum Field Theories, Joachim Kock, 9780511075735, Cambridge University Press, 12/04/2003, , , , Cambridge University Press
Hive.co.uk
MPN: , SKU 5583479 Shipping costs:zzgl. Versandkosten, plus shipping costs
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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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Title: | Frobenius Algebras and 2D Topological Quantum Field Theories |
ISBN: | 9780511075735 |
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 28.02.2017 13:21:42
ISBN/EAN: 9780511075735
ISBN - alternate spelling:
978-0-511-07573-5
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