How Long to Read Monoidal Categories and Topological Field Theory

By Vladimir Turaev

How Long Does it Take to Read Monoidal Categories and Topological Field Theory?

It takes the average reader 8 hours and 49 minutes to read Monoidal Categories and Topological Field Theory by Vladimir Turaev

Assuming a reading speed of 250 words per minute. Learn more

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.

How long is Monoidal Categories and Topological Field Theory?

Monoidal Categories and Topological Field Theory by Vladimir Turaev is 523 pages long, and a total of 132,319 words.

This makes it 177% the length of the average book. It also has 162% more words than the average book.

How Long Does it Take to Read Monoidal Categories and Topological Field Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 3 minutes to read Monoidal Categories and Topological Field Theory aloud.

What Reading Level is Monoidal Categories and Topological Field Theory?

Monoidal Categories and Topological Field Theory is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Monoidal Categories and Topological Field Theory?

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