Hochschild Cohomology Modular Tensor Categories and Mapping Class Groups I is popular PDF and ePub book, written by Simon Lentner in 2023-07-25, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Hochschild Cohomology Modular Tensor Categories and Mapping Class Groups I can be Read Online from any device for your convenience.
Hochschild Cohomology Modular Tensor Categories and Mapping Class Groups I Book PDF Summary
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.
Detail Book of Hochschild Cohomology Modular Tensor Categories and Mapping Class Groups I PDF
- Author : Simon Lentner
- Release : 25 July 2023
- Publisher : Springer Nature
- ISBN : 9789811946455
- Genre : Science
- Total Page : 76 pages
- Language : English
- PDF File Size : 21,9 Mb
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