Timeline for Tracking down an elusive book
Current License: CC BY-SA 4.0
14 events
when toggle format | what | by | license | comment | |
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Aug 22, 2019 at 22:11 | comment | added | Arun Debray | The covers don't match, but could it be Bakalov and Kirillov, "Lectures on tensor categories and modular functor"? | |
Aug 12, 2019 at 14:19 | comment | added | user43263 | @MatthewTitsworth Thanks you for the recommendations! | |
Aug 10, 2019 at 18:23 | comment | added | Matthew Titsworth | This is a pretty common starting points for studying quantum groups and their representation categories. Books which I would recommend that focus on this are Kassel (above), Chari and Pressley's "Introduction to Quantum Groups," Frolich and Kerler's "Quantum Groups, Quantum Categories, and Quantum Field Theory," Fuchs' "Symmetry, Lie Algebras, and Representations," Kauffman's "Temperley Lieb Recoupling Theory." Connes' "Noncommutative Geometry" is also good, but different, as is Evans and Kawahigashi's "Quantum Symmetries on Operator Algebras." | |
Aug 10, 2019 at 15:50 | comment | added | user43263 | @MatthewTitsworth This one arxiv.org/abs/0803.3652 and most of the other recommended papers are contained in the references section of the linked paper. | |
Aug 7, 2019 at 15:21 | comment | added | Matthew Titsworth | @user43263 What are the papers? | |
Aug 7, 2019 at 15:12 | comment | added | user43263 | @MatthewTitsworth By chance I met a string of people recently who all knew a bit about Reshetikhin-Turaev invariants and the other things linked to this circle of ideas. I wanted to get an expert's opinion on this, because I was intrigued by these dialogues (my own background is far removed from these fields). Because I favor texts where a theory is presented with some concrete application in mind, I was directed to this book (among a whole slew of other articles to read, which I thankfully all remembered), where also some applications of the abstract theory were covered. | |
Aug 7, 2019 at 15:07 | comment | added | user43263 | @RobinHouston My first gut reaction was "Yes, that is it!!". Then I went through the Contents and now I I'm only "70%" sure it was this book, since I remember that it should have contained something on knots, but this book does'tn really seem to. But maybe I'm not remembering right. | |
Aug 7, 2019 at 14:58 | comment | added | user43263 | @JosephO'Rourke It's not this book unfortunately, I already checked it out. But thank you for the effort. | |
Aug 7, 2019 at 14:54 | comment | added | user43263 | @LSpice Yes, there is, but I can't share it here. | |
Aug 6, 2019 at 17:32 | comment | added | Matthew Titsworth | As you mention "might be interesting to me" perhaps it would be helpful to know about your area of expertise, background, and interests. In general, Tensor Categories is self contained and would certainly be a good starting point, as would books like Kassel's "Quantum Groups," Turaev's previously mentioned book, Bakalov and Kirilov's "Tensor Categories and Modular Functors," Zhenghan Wang's "Topological Quantum Computing." So much of what would be good and direct answering this question is dependent upon what part of the conversation had you going "Wow! That's cool!" | |
Aug 6, 2019 at 13:42 | comment | added | Robin Houston | Tensor Categories seems to roughly match your description, but I suspect it is not unique in that regard. | |
Aug 6, 2019 at 13:40 | comment | added | Joseph O'Rourke | Quantum Invariants of Knots and 3-Manifolds has the right color but only one Russian author, Turaev. | |
Aug 6, 2019 at 13:34 | comment | added | LSpice | Is there some reason you can't ask the faculty member? | |
Aug 6, 2019 at 13:31 | history | asked | user43263 | CC BY-SA 4.0 |