Timeline for Are there infinitely many commensurable classes of finite-covolume hyperbolic Coxeter groups?
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5 events
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| Jul 22, 2014 at 21:35 | comment | added | Ian Agol | @HaoCHEN: I see, yes, this is similar to the technique of Gromov-Piatetskii-Shapiro I was alluding to. I wasn't aware of these examples (even though I downloaded a copy of Vinberg's paper :). | |
| Jul 20, 2014 at 17:14 | comment | added | Hao Chen | FYI, Tumarkin pointed me to the 1985 paper of Vinberg "Hyperbolic reflection groups". In Part 4 of Sec. 5 (Ch. II), he described a construction due to Makarov, which seems to be a sequence of incommensurable Coxeter polytopes in dimension 4 and 5. | |
| Apr 24, 2014 at 8:27 | comment | added | Hao Chen | Thank you for the very interesting references. It seems that one can not expect a complete answer in the near future, so I would like to accept this one. | |
| Apr 24, 2014 at 8:25 | vote | accept | Hao Chen | ||
| Apr 24, 2014 at 4:06 | history | answered | Ian Agol | CC BY-SA 3.0 |