2003, ISBN: 9780511075735

eBooks, eBook Download (PDF), Auflage, This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to com… More...

eBooks, eBook Download (PDF), Auflage, 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. [PU: Cambridge University Press], [ED: 1], Cambridge University Press, 2003<

2003, ISBN: 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… More...

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.; PDF; Scientific, Technical and Medical > Mathematics > Geometry, Cambridge University Press<

ISBN: 9780511075735

Frobenius Algebras and 2-D Topological Quantum Field Theories ab 56.99 € als pdf eBook: . Aus dem Bereich: eBooks, Belletristik, Erzählungen, Medien > Bücher nein eBook als pdf eBooks > B… More...

Frobenius Algebras and 2-D Topological Quantum Field Theories ab 56.99 € als pdf eBook: . Aus dem Bereich: eBooks, Belletristik, Erzählungen, Medien > Bücher nein eBook als pdf eBooks > Belletristik > Erzählungen, Cambridge University Press<

ISBN: 9780511075735

Frobenius Algebras and 2-D Topological Quantum Field Theories: ab 56.99 € eBooks > Belletristik > Erzählungen Cambridge University Press eBook als pdf, Cambridge University Press

ISBN: 9780511075735

Frobenius Algebras and 2-D Topological Quantum Field Theories: ab 58.99 € eBooks > Belletristik > Erzählungen Cambridge University Press, Cambridge University Press