Andere Kunden interessierten sich auch für
![Frobenius Manifolds and Moduli Spaces for Singularities]( "Frobenius Manifolds and Moduli Spaces for Singularities")
Frobenius Manifolds and Moduli Spaces for Singularities146,99 €![Topological Quantum Field Theories and Geometry of Loop Spaces - Proceedings of the Conference on Geometry and Analysis of Loop Spaces]( "Topological Quantum Field Theories and Geometry of Loop Spaces - Proceedings of the Conference on Geometry and Analysis of Loop Spaces")
Topological Quantum Field Theories and Geometry of Loop Spaces - Proceedings of the Conference on Geometry and Analysis of Loop Spaces67,99 €![Frobenius Splitting Methods in Geometry and Representation Theory]( "Frobenius Splitting Methods in Geometry and Representation Theory")
Frobenius Splitting Methods in Geometry and Representation Theory98,99 €![Equivariant Cohomology Theories]( "Equivariant Cohomology Theories")
Equivariant Cohomology Theories22,99 €![Advances in Topological Quantum Field Theory]( "Advances in Topological Quantum Field Theory")
Advances in Topological Quantum Field Theory116,99 €![Arithmetic and Geometric Frobenius]( "Arithmetic and Geometric Frobenius")
Arithmetic and Geometric Frobenius22,99 €![Advances in Topological Quantum Field Theory]( "Advances in Topological Quantum Field Theory")
Advances in Topological Quantum Field Theory120,99 €
Short description/annotation
Connects topology and algebra using modern techniques. Numerous exercises and examples, ideal for course use.
Main description
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.
Table of contents:
1. Cobordisms and TQFTs; 2. Frobenius algebras; 3. Monoids and monoidal categories; Appendix. Vocabulary from category theory.
Connects topology and algebra using modern techniques. Numerous exercises and examples, ideal for course use.
Main description
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.
Table of contents:
1. Cobordisms and TQFTs; 2. Frobenius algebras; 3. Monoids and monoidal categories; Appendix. Vocabulary from category theory.