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Nov 30, 2022 at 9:47 history edited Martin Sleziak CC BY-SA 4.0
replaced the link to the arXiv front end; see https://meta.mathoverflow.net/questions/5124/is-it-time-to-replace-links-to-the-ucdavis-arxiv-frontend
Sep 24, 2021 at 7:29 comment added David Roberts @Lee I've fixed the link to Kapovich–Millson
Sep 24, 2021 at 7:28 history edited David Roberts CC BY-SA 4.0
fixed arxiv front-end link
Jun 22, 2019 at 18:09 history edited Lee Mosher CC BY-SA 4.0
added 51 characters in body
Jun 22, 2019 at 18:03 comment added Lee Mosher Regarding Q2, I believe that the Kapovich--Milson paper referred to is "Universality theorems for configuration spaces of planar linkages", Topology 41 (2002), no. 6, 1051–1107. I've added a link to that paper in the answer.
Feb 1, 2018 at 17:45 comment added Ryan Budney @timur: there are a variety of answers to your question. The most tautological (and perhaps least informative) one is that the Kirby-Siebenmann obstruction lies in $H^4(M; \mathbb Z_2)$, and for manifolds of dimension three or lower, that group is always trivial, so the KS invariant can only be zero.
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
May 16, 2016 at 17:10 comment added timur Is it true that the Kirby-Siebenmann smoothing obstruction vanishes in dimensions 1, 2 and 3?
Jan 5, 2015 at 5:43 history edited Ryan Budney CC BY-SA 3.0
Appended a more complete history of related problems. Comments by Riccardo Benedetti.
Dec 13, 2009 at 20:04 vote accept Theo Johnson-Freyd
Dec 13, 2009 at 20:03 history answered Ryan Budney CC BY-SA 2.5