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

£132.51

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: 132.51 GBP
Availability: InStock

Algebra

This is the most expensive it has ever been. Walk away.

£133 today · previous high £133 · all-time low £126

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 63 days · 63 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 63 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £126 (62 days, 98.4%)

Price range: £126 - £133

Price levels: 2 different prices over 63 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 to the 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. Review “The book gives a self-contained account of the algebraic construction of TQFTs including all required background on the theory of monoidal categories. As such, it appears to be unique in the literature. Material otherwise only accessible through various journal articles, and partly only published in preprints, has been combined into a single well-written and accessible account of the theory. The book combines decades of research into a single text, bringing the reader from the basics to the forefront of research.” (Robert Laugwitz, Mathematical Reviews, July, 2018) From the Back Cover 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 to the 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: paperback
ASIN: 3319842501
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 01 August 2018
Listed Since: 31 July 2018

Barcode

No barcode data available

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

This is the most expensive it has ever been. Walk away.

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)

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

The Classical and Quantum 6j-symbols. (Mn-43) (Mathematical Notes, 109)

Dualizable Tensor Categories (Memoirs of the American Mathematical Society)

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

Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 1: The Algebraic Theory and its Topological Background (Mathematical Surveys and Monographs)

Springer Introduction to Vertex Operator Superalgebras 456

Prospects in Topology: Proceedings of a Conference in Honor of William Browder: 138 (Annals of Mathematics Studies, 138)

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

Hopf Algebras and Root Systems (Mathematical Surveys and Monographs)

Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th Birthday

Toplogy and Field Theories: Center for Mathematics at Notre Dame : Summer School and Conference, Topology and Field Theories, May 29-June 8, 2012, ... Dame, Indiana (Contemporary Mathematics)

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

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

Quantum Field Theory and Manifold Invariants (IAS/Park City Mathematics Series)

Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical Research (Mathematical Lectures from Peking University)

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

Algebra and Applications 2: Combinatorial Algebra and Hopf Algebras

Several Complex Variables with Connections to Algebraic Geometry and Lie Groups (Graduate Studies in Mathematics)

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Mathematical Notes, Vol. 44)

Knots, Groups and 3-Manifolds: Papers Dedicated to the Memory of R.H. Fox: 84 (Annals of Mathematics Studies, 84)

Topological Quantum Field Theory and Four Manifolds: 25 (Mathematical Physics Studies, 25)

Quasi-Hopf Algebras: A Categorical Approach: 171 (Encyclopedia of Mathematics and its Applications, Series Number 171)

Quantum Bounded Symmetric Domains (Translations of Mathematical Monographs)