Timeline for Conjugacy classes of the mapping class group
Current License: CC BY-SA 4.0
14 events
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| Apr 12, 2020 at 18:34 | comment | added | HJRW | @MarkSapir: with respect, you have repeated yourself as much as I have. I think you also misunderstood the question, and my original comment. The OP didn't ask whether the conjugacy problem is solved (as you say, this is an old theorem). They asked how to tell whether or not a given pair of mapping classes are conjugate; in other words, they want practical criteria, not a theoretical algorithm. Hamenstadt's theorem, whether correct or not, is irrelevant. | |
| Apr 12, 2020 at 17:33 | comment | added | HJRW | @MarkSapir -- this really isn't the correct forum to discuss this. But, for the sake of the OP, it is important that they know that Hamenstadt's result has not been accepted by the community. (To be clear, I have enormous respect for Hamenstadt as a mathematician.) | |
| Apr 12, 2020 at 15:46 | comment | added | YCor | @HJRW My point being, written in a textbook style, rather than "original research" style, and complementary to the original paper. | |
| Apr 12, 2020 at 15:41 | comment | added | HJRW | @YCor -- or even in a paper accepted by a journal. | |
| Apr 10, 2020 at 15:23 | comment | added | YCor | It's an important result, so probably should be reproved in a (proofchecked) book at some point. | |
| Apr 10, 2020 at 14:41 | history | edited | user6976 | CC BY-SA 4.0 |
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| Jan 1, 2020 at 19:08 | comment | added | HJRW | Without going into details, Mark, I can assure you that there are researchers in the field who regard the biautomaticity of mapping class groups as open. I'll also note that neither of the papers that you mention claims that mapping class groups are known to be biautomatic, and indeed, Farb implies on page 24 of his article that the question is open. | |
| Jan 1, 2020 at 17:13 | history | edited | Adrien | CC BY-SA 4.0 |
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| Jan 1, 2020 at 16:54 | history | edited | user6976 | CC BY-SA 4.0 |
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| Jan 1, 2020 at 14:15 | history | edited | user6976 | CC BY-SA 4.0 |
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| Jan 1, 2020 at 12:16 | history | edited | user6976 | CC BY-SA 4.0 |
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| Jan 1, 2020 at 12:00 | comment | added | HJRW | That paper has been on the arXiv for 10 years, and is still not published. This is a strong indication that, at the very least, it will be difficult to apply its results in practice. (The wording of the question strongly suggests that the OP wants to determine conjugacy of particular mapping classes, rather than just know abstractly that the conjugacy problem is solvable.) | |
| Jan 1, 2020 at 11:47 | history | edited | user6976 | CC BY-SA 4.0 |
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| Jan 1, 2020 at 11:41 | history | answered | user6976 | CC BY-SA 4.0 |