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Timeline for Conformal covers of all degrees

Current License: CC BY-SA 4.0

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S Sep 13, 2020 at 11:08 history bounty ended CommunityBot
S Sep 13, 2020 at 11:08 history notice removed user164740
Sep 13, 2020 at 11:08 vote accept CommunityBot
Sep 9, 2020 at 21:38 answer added Anton Mellit timeline score: 7
Sep 9, 2020 at 18:06 history edited user164740
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Sep 9, 2020 at 17:35 comment added Moishe Kohan I suggest you add a tag in algebraic number theory since the problem is really algebraic.
Sep 9, 2020 at 12:32 comment added mme @FrancescoPolizzi On each tangent space it sends an orthonormal basis $\{e_1, e_2\}$ to $\{ke_1, e_2\}$, which is not a scaling of an orthonormal basis. Products of conformal maps are usually not conformal, I don't think.
Sep 9, 2020 at 12:13 history edited user164740 CC BY-SA 4.0
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S Sep 9, 2020 at 10:42 history bounty started CommunityBot
S Sep 9, 2020 at 10:42 history notice added user164740 Improve details
Sep 7, 2020 at 20:09 answer added Moishe Kohan timeline score: 9
Sep 7, 2020 at 12:58 comment added user164740 @FrancescoPolizzi but you are taking two different conformal manifolds
Sep 7, 2020 at 12:58 comment added Francesco Polizzi If a take a conformal map $f$ of degree $k$ on $S^1$ and I take $f \times \mathrm{id}$ on $S^1 \times S^1$, is not this conformal of degree $k$?
Sep 7, 2020 at 11:36 comment added Robert Bryant This is related to an earlier question: mathoverflow.net/questions/369412/…
Sep 7, 2020 at 11:28 comment added Robert Bryant @JoeT: I didn't say it was.
Sep 7, 2020 at 11:27 comment added user164740 @RobertBryant my bad. But still, that's not all integers.
Sep 7, 2020 at 11:26 comment added Robert Bryant @JoeT: Not at all. If $M^2$ is the square torus, then there is a conformal covering map of degree $k = a^2+b^2$, where $a$ and $b$ are integers.
Sep 7, 2020 at 10:51 comment added user164740 @FrancescoPolizzi does it? Wouldn't you only get squares, or third powers and so on?
Sep 7, 2020 at 10:50 comment added Francesco Polizzi A finite product of copies of $S^1$ also works
Sep 7, 2020 at 10:45 history edited user164740 CC BY-SA 4.0
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Sep 7, 2020 at 10:39 history asked user164740 CC BY-SA 4.0