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Timeline for Homotopy type of Diff(ℝP³)

Current License: CC BY-SA 4.0

16 events
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Sep 26, 2022 at 9:36 history edited David Roberts CC BY-SA 4.0
added link to paper
Sep 26, 2022 at 8:28 history edited Sergiy Maksymenko CC BY-SA 4.0
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Sep 26, 2022 at 1:22 history became hot network question
Sep 26, 2022 at 1:12 answer added Andy Putman timeline score: 26
Sep 25, 2022 at 22:32 comment added user51223 I think the perspectives that one chooses it also important in demonstrating the significance of their results. I would be very much interested in this particular example you are talking about from the perspective of computing characteristic classes for manifold bundles and the Madsen-Tillman spectra.
Sep 25, 2022 at 22:14 comment added Ryan Budney @GSM: For example take the cited Rubinstein book. I believe they first wanted that to be a paper, but difficulty finding referees (as far as I understand) forced the publication mode to book. These are important results, but if there isn't a sufficiently large base for an area using specialized techniques, it can be difficult for editors to find people to vet even quality results. This is doubly-frustrating as people reading the result would like to know it has been checked in detail. Similarly for authors, you'd like to know someone (other than yourself) has read your work.
Sep 25, 2022 at 21:49 comment added GSM @RyanBudney your comment is very interesting, why this problem does not get much recognition? Could you elaborate more, please?
Sep 25, 2022 at 20:33 history edited Sergiy Maksymenko CC BY-SA 4.0
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Sep 25, 2022 at 20:24 history edited Sergiy Maksymenko CC BY-SA 4.0
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Sep 25, 2022 at 20:19 history edited LSpice CC BY-SA 4.0
Title; `\operatorname`; link to HKMR book
Sep 25, 2022 at 18:49 comment added Andy Putman (I can post this as an answer later — I am typing on my phone on a plane about to take off)
Sep 25, 2022 at 18:48 comment added Andy Putman I think this was recently dealt with using Ricci flow by Bamler and Kleiner. See here: math.nyu.edu/%7Ebkleiner/psc.pdf
Sep 25, 2022 at 18:00 comment added Sergiy Maksymenko Thank you very much Ryan.
Sep 25, 2022 at 17:52 comment added Ryan Budney It hasn't been computed. Roughly speaking, it's expected that adapting the techniques from Hatcher's Smale Conjecture paper should do the job. But it would be an enormous amount of work in an era where this kind of work does not get much recognition. So nobody has done it.
Sep 25, 2022 at 17:12 history edited YCor
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Sep 25, 2022 at 17:09 history asked Sergiy Maksymenko CC BY-SA 4.0