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Apr 4, 2022 at 8:38 vote accept CommunityBot
Apr 3, 2022 at 14:10 comment added Sam Nead I think you need to write out all of the various definitions and work out the groups explicitly for a few example surfaces (sphere, disk, annulus, torus). In particular, it seems that you do not understand "Dehn twists about boundary components". Working out the case of the annulus will help you with this.
Apr 3, 2022 at 14:08 answer added Sam Nead timeline score: 1
Apr 3, 2022 at 13:50 history edited Sam Nead CC BY-SA 4.0
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Apr 3, 2022 at 11:51 comment added user479845 Why is the answer "no" for Q1? Thank you.
Apr 3, 2022 at 2:42 comment added Ryan Budney Q1: no. Q2: yes. Well, provided you fix the boundary. Dehn twists can't permute the boundary components. Q3: You can make any definition you want, the important thing is to clearly tell people what you are talking about when you discuss things.
Apr 2, 2022 at 17:36 comment added alesia fixing a boundary and a puncture are different things, because fixing a boundary pointwise prevents you from doing a rotation around it, whereas if you "just" preserve a puncture you can do it
Apr 2, 2022 at 14:47 comment added user479845 Yes it is related to these questions but I still don't understand the current one mathoverflow.net/questions/144857/… mathoverflow.net/questions/417191/…
Apr 2, 2022 at 14:44 comment added Will Sawin Did you ask a similar question earlier?
Apr 2, 2022 at 14:20 history edited YCor CC BY-SA 4.0
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Apr 2, 2022 at 14:13 history edited YCor CC BY-SA 4.0
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S Apr 2, 2022 at 14:05 review First questions
Apr 2, 2022 at 14:39
S Apr 2, 2022 at 14:05 history asked user479845 CC BY-SA 4.0