How Long to Read Quantum Invariants of Knots and 3-Manifolds

By Vladimir G. Turaev

How Long Does it Take to Read Quantum Invariants of Knots and 3-Manifolds?

It takes the average reader 10 hours and 27 minutes to read Quantum Invariants of Knots and 3-Manifolds by Vladimir G. Turaev

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

Description

Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatment of 3-dimensional topological quantum field theories (TQFTs) based on the work of the author with N. Reshetikhin and O. Viro. This subject was inspired by the discovery of the Jones polynomial of knots and the Witten-Chern-Simons field theory. On the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum groups.The book is divided into three parts. Part I presents a construction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories. This gives a vast class of knot invariants and 3-manifold invariants as well as a class of linear representations of the mapping class groups of surfaces. In Part II the technique of 6j-symbols is used to define state sum invariants of 3-manifolds. Their relation to the TQFTs constructed in Part I is established via the theory of shadows. Part III provides constructions of modular categories, based on quantum groups and skein modules of tangles in the 3-space.This fundamental contribution to topological quantum field theory is accessible to graduate students in mathematics and physics with knowledge of basic algebra and topology. It is an indispensable source for everyone who wishes to enter the forefront of this fascinating area at the borderline of mathematics and physics. Contents:Invariants of graphs in Euclidean 3-space and of closed 3-manifoldsFoundations of topological quantum field theoryThree-dimensional topological quantum field theoryTwo-dimensional modular functors6j-symbolsSimplicial state sums on 3-manifoldsShadows of manifolds and state sums on shadowsConstructions of modular categories

How long is Quantum Invariants of Knots and 3-Manifolds?

Quantum Invariants of Knots and 3-Manifolds by Vladimir G. Turaev is 608 pages long, and a total of 156,864 words.

This makes it 205% the length of the average book. It also has 192% more words than the average book.

How Long Does it Take to Read Quantum Invariants of Knots and 3-Manifolds Aloud?

The average oral reading speed is 183 words per minute. This means it takes 14 hours and 17 minutes to read Quantum Invariants of Knots and 3-Manifolds aloud.

What Reading Level is Quantum Invariants of Knots and 3-Manifolds?

Quantum Invariants of Knots and 3-Manifolds 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 Quantum Invariants of Knots and 3-Manifolds?

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