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Mar 4, 2010 at 5:09 comment added Kim Morrison Please check tea.mathoverflow.net/discussion/183/comments-that-vanish if you're concerned about the recent disappearing comments here.
Mar 3, 2010 at 23:44 answer added David Ben-Zvi timeline score: 13
Mar 3, 2010 at 22:02 comment added Ben Webster I will say: I think there are a lot of interesting questions along these lines, which might you consider asking now, if you think them out carefully. I certainly would like to know how quantum groups and homotopical algebra fit together, but I think this question wasn't the right way to ask.
Mar 3, 2010 at 21:44 comment added olli_jvn Sorry for the phrasing. In retrospection, I realize myself that already "I am sitting on my carpet" is not exactly a wise choice for the beginning of a question, at least if one wants people to take it seriously. And there are some more parts... sorry, will do better in the future! Thanks very much for the answers.
Mar 3, 2010 at 21:41 vote accept olli_jvn
Mar 3, 2010 at 19:50 answer added Zoran Skoda timeline score: 5
Mar 3, 2010 at 19:05 comment added Ben Webster Well, it's reasonable question, but it's phrased in a weird enough way that I can imagine deciding to downvote it (I didn't). After all, it seems to be assuming that the people who write quantum groups books understand homotopical algebra well enough to write a book using it in a crucial way, which is not really defensible on the facts. Almost certainly the correct answer is "the number of people who understand both topics in a deep way is extremely small, and none of them have gotten around to writing such a book."
Mar 3, 2010 at 19:03 comment added Harry Gindi I'm not going to tick any of the boxes. To my knowledge, no book exists that does what you're looking for. A lot of these applications of homotopy theory to "quantum algebra" and noncommutative algebraic geometry are relatively new. It isn't very often that an introductory textbook comes out that covers the "bleeding edge", so to speak. You can try reading papers, but I doubt very much that you can find a book that covers the topic in the generality you're looking for.
Mar 3, 2010 at 18:52 history edited Kim Morrison CC BY-SA 2.5
deleted 122 characters in body; edited title
Mar 3, 2010 at 16:19 history asked olli_jvn CC BY-SA 2.5