Name: A First Course in Topological Field Theory
SKU: 67025028
Price: 95.48 USD
Availability: InStock
Author: Christoph Schweigert;Lukas Woike;Jurgen Fuchs

portada A First Course in Topological Field Theory

A First Course in Topological Field Theory

Formato

Libro Físico

Editorial

American Mathematical Society

Autor

Christoph Schweigert;Lukas Woike;Jurgen Fuchs

Colección

University Lecture Series

Año

2026

N° páginas

183

Encuadernación

Tapa Blanda

ISBN13

9781470485078

A First Course in Topological Field Theory

Christoph Schweigert;Lukas Woike;Jurgen Fuchs (Autor) · American Mathematical Society · Tapa Blanda

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Reseña del libro "A First Course in Topological Field Theory"

Topological quantum field theories lie at the intersection of algebra, topology, and quantum field theory. The area is highly active, driven by recent developments in representation theory and topology, as well as developments in theoretical physics, including the study of topological phases of matter and topological symmetries. This book provides an accessible introduction to topological quantum field theories, along with basic notions of category theory - the natural mathematical setting for topological field theories - by describing these theories as a symmetric monoidal functor from a cobordism category to the category of vector spaces. Using Dijkgraaf–Witten theories as a recurring example, the book introduces key tools such as category theory, Hopf algebras, and tensor categories, providing a solid foundation for students aiming to pursue a more advanced study in quantum topology and related areas. The book concludes with an outlook connecting the foundational theory to recent developments and current research directions. The text is intended for advanced undergraduates and beginning graduate students in mathematics and theoretical physics. It is largely self-contained and assumes no specific background beyond standard undergraduate algebra and topology. While some familiarity with basic ideas from quantum theory is helpful, it is not a prerequisite.