It takes the average reader 1 hour and 17 minutes to read Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I by Simon Lentner
Assuming a reading speed of 250 words per minute. Learn more
The book addresses a key question in topological field theory and logarithmic conformal field theory: In the case where the underlying modular category is not semisimple, topological field theory appears to suggest that mapping class groups do not only act on the spaces of chiral conformal blocks, which arise from the homomorphism functors in the category, but also act on the spaces that arise from the corresponding derived functors. It is natural to ask whether this is indeed the case. The book carefully approaches this question by first providing a detailed introduction to surfaces and their mapping class groups. Thereafter, it explains how representations of these groups are constructed in topological field theory, using an approach via nets and ribbon graphs. These tools are then used to show that the mapping class groups indeed act on the so-called derived block spaces. Toward the end, the book explains the relation to Hochschild cohomology of Hopf algebras and the modular group.
Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I by Simon Lentner is 76 pages long, and a total of 19,456 words.
This makes it 26% the length of the average book. It also has 24% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 46 minutes to read Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I aloud.
Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I is suitable for students ages 8 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.
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