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Feb 18, 2014 at 1:04 comment added Igor Makhlin @Kiu Wow, I knew there must be someone out there! Interestingly enough, I did come up with a combinatorial proof for the GT a few months back.
Feb 17, 2014 at 18:30 comment added Kiu I actually have been interested in very similar (perhaps the same) question some years ago. I think I can give an algebro-geometric (not combinatorial) argument for why the vertices that are not mapped to the vertices of $\phi(P)$ do not appear in the formula, at least for the case of $P =$ a Gelfand-Zetlin polytope. I would be very much interested to know if you have a combinatorial argument in this case.
Jul 19, 2013 at 22:35 history edited Igor Makhlin CC BY-SA 3.0
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Jul 11, 2013 at 20:06 answer added Sinai Robins timeline score: 3
Jul 11, 2013 at 0:54 history edited Igor Makhlin CC BY-SA 3.0
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Jul 10, 2013 at 20:51 comment added Igor Makhlin Eureka. But, honestly, I am really hoping for someone to see some general result they are familiar with in the situation described above.
Jul 10, 2013 at 20:49 history edited Igor Makhlin CC BY-SA 3.0
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Jul 10, 2013 at 20:08 comment added Igor Makhlin Hm... I wouldn't call any of the polytopes I'm working with "small". But maybe I can come up with one, let me see...
Jul 10, 2013 at 19:59 comment added David E Speyer Could you add a small, nontrivial, example? Thanks!
Jul 10, 2013 at 19:58 history edited Igor Makhlin CC BY-SA 3.0
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Jul 10, 2013 at 19:44 history asked Igor Makhlin CC BY-SA 3.0