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May 24, 2020 at 13:03 comment added Mark Grant I believe that there is no statement of Dehn-Nielsen-Baer for suraces with boundary and punctures in the literature. I also feel like someone who works a lot with mapping class groups should be able to figure out the answer, if they were sufficiently motivated. As I said, we shifted to looking at a slightly different problem, and the motiviation went away. (BTW, I'm talking about a project which led to this paper: arxiv.org/abs/1903.01916)
May 22, 2020 at 21:04 comment added qkqh @MarkGrant You mean that the problem is(was) unsolved, right?
May 22, 2020 at 19:57 comment added Mark Grant We never found a reference, and so ended up changing the parameters of our problem. My question led to some email correspondence with another MO user, I'll email him to see if he made any progress.
May 22, 2020 at 16:46 history edited qkqh CC BY-SA 4.0
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May 22, 2020 at 15:36 comment added qkqh @MarkGrant I could not find any answer to my question. (Your question on the comment of Hatcher's reply is almost similar to my question, but there's no answer. Have you found the answer?)
May 21, 2020 at 18:13 history edited qkqh CC BY-SA 4.0
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May 21, 2020 at 12:33 comment added Mark Grant I asked a similar question here and Allen Hatcher gave an enlightening answer: mathoverflow.net/a/308391/8103
May 21, 2020 at 7:00 history edited YCor CC BY-SA 4.0
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May 20, 2020 at 22:52 history edited qkqh CC BY-SA 4.0
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May 20, 2020 at 22:44 history asked qkqh CC BY-SA 4.0