Monoidal Categories and Topological Field Theory: 322 (Progress in Mathematics, 322) - Image 1

£124.50

Birkhauser Monoidal Categories and Topological Field Theory: 322 (Progress in Mathematics, 322)

Name: Monoidal Categories and Topological Field Theory: 322 (Progress in Mathematics, 322)
Brand: Birkhauser
Price: 124.5 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 4 days • 4 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 4 days • 1 price levels

Days at Price

Price Analysis

Most common price: £125 (4 days, 100.0%)

Price range: £125 - £125

Price levels: 1 different prices over 4 days

Description

This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research. Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of Müger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic tothe Reshetikhin-Turaev surgery graph TQFT derived from the center of that category. The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 3319498339
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 07 July 2017
Listed Since: 19 October 2016

Barcode

No barcode data available

Birkhauser Monoidal Categories and Topological Field Theory: 322 (Progress in Mathematics, 322)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Monoidal Categories and Topological Field Theory: 322 (Progress in Mathematics, 322)

Monoidal Functors, Species and Hopf Algebras (CRM Monograph Series)

Morse Homology with Differential Graded Coefficients: 360 (Progress in Mathematics, 360)

CATEGORIES FOR QUANTUM THEORY:INTRODUCTION OGTM:NCS PAPER: An Introduction (Oxford Graduate Texts in Mathematics)

Tensor Categories (Mathematical Surveys and Monographs)

Categories for Quantum Theory: An Introduction (Oxford Graduate Texts in Mathematics)

Algebras, Rings and Modules: Lie Algebras and Hopf Algebras (Mathematical Surveys and Monographs)

Dualizable Tensor Categories (Memoirs of the American Mathematical Society)

The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)

Toric Topology (Mathematical Surveys and Monographs)

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)

Triangulated Categories of Mixed Motives (Springer Monographs in Mathematics)

Quantum Groups and Related Topics: Proceedings of the First Max Born Symposium: v. 13 (Mathematical Physics Studies)

Monoidal Topology: A Categorical Approach to Order, Metric, and Topology: 153 (Encyclopedia of Mathematics and its Applications, Series Number 153)

K3 Surfaces and Their Moduli: 315 (Progress in Mathematics, 315)

Finite Dimensional Algebras and Quantum Groups - Mathematics Book

Frobenius Categories versus Brauer Blocks: The Grothendieck Group of the Frobenius Category of a Brauer Block: 274 (Progress in Mathematics, 274)

Frobenius Algebras and 2D Topological Quantum Field Theories: 59 (London Mathematical Society Student Texts, Series Number 59)

Hopf Algebras and Root Systems (Mathematical Surveys and Monographs)

Surgery on Compact Manifolds (Mathematical Surveys and Monographs)

A Foundation for Props, Algebras, and Modules (Mathematical Surveys and Monographs)

BRST Symmetry and de Rham Cohomology

BRST Symmetry and de Rham Cohomology

Homotopy of Operads and Grothendieck-Teichmuller Groups: Parts 1 & 2 (Mathematical Surveys and Monographs): Parts 1 and 2