Timeline for Finite fundamental groups of 3-dimensional Calabi-Yau manifolds
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 17, 2011 at 1:52 | comment | added | Tony Pantev | There is a very nice and detailed description of this CY in the Gross-Pavanelli paper arxiv.org/abs/math/0512182. If you have not seen those, you may also want to take a look at this paper arxiv.org/abs/math/0609728 by Borisov-Hua, and the paper arxiv.org/abs/math/0609728 of Bouchard-Donagi. | |
| Aug 17, 2011 at 0:55 | comment | added | Dmitri Panov | Tony thanks a lot for all these references! | |
| Aug 17, 2011 at 0:55 | vote | accept | Dmitri Panov | ||
| Aug 17, 2011 at 0:47 | comment | added | Tony Pantev | There are many possible constructions of the first one: via toric geometry, via elliptic fibrations, via abelian surface fibrations, etc. The elliptic fibration construction is written for instance in my old paper <a href="arxiv.org/abs/hep-th/0410055">http://arxiv.org/abs/…>. You can see there that the group acts freely on the total space but acts with fixed points on the base of the elliptic fibration. The second Calabi-Yau was originally constructed by Gross-Popescu as a pencil of abelian surfaces with polarizations $(1,8)$. | |
| Aug 17, 2011 at 0:25 | comment | added | Dmitri Panov | Tony, thanks a lot for the answer! Would you mind to give a reference for the construction of these manifolds (together with fibrations)? | |
| Aug 17, 2011 at 0:00 | history | edited | Tony Pantev | CC BY-SA 3.0 |
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| Aug 16, 2011 at 18:29 | history | edited | Tony Pantev | CC BY-SA 3.0 |
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| Aug 16, 2011 at 17:32 | history | answered | Tony Pantev | CC BY-SA 3.0 |