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Frobenius algebras and 2D topological quantum field theories / Joachim Kock

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: London Mathematical Society student texts ; 59Publisher: Cambridge : Cambridge University Press, 2004Description: 1 Online-Ressource (xiv, 240 pages) : digital, PDF file(s)ISBN:
  • 9780511615443
Other title:
  • Frobenius Algebras & 2-D Topological Quantum Field Theories
Subject(s): Genre/Form: Additional physical formats: 9780521832670. | 9780521540315. | Erscheint auch als: Frobenius algebras and 2D topological quantum field theories. Druck-Ausgabe Cambridge [u.a.] : Cambridge University Press, 2004. XIV, 240 S.DDC classification:
  • 512/.24 21
MSC: MSC: *57-02 | 57R56 | 81-02 | 81T45RVK: RVK: UO 4000Local classification: Lokale Notation: math 3.32LOC classification:
  • QA251.5
DOI: DOI: 10.1017/CBO9780511615443Online resources: Summary: 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 workPPN: PPN: 883333147Package identifier: Produktsigel: ZDB-20-CTM | ZDB-20-CBO
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