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Jan 21, 2013 at 16:34 comment added Tim Perutz Also, for the statement at the end of 1) the relatively Pin Lagrangians should still be orientable (thanks to Penka Georgieva for noting this).
Jan 21, 2013 at 16:33 comment added Tim Perutz (Perhaps I should add in light of Aleksey's answer that, as I think is usual for an MO answer, this is an informal exposition of the situation as I understand it, and is certainly not comprehensive, mathematically or bibliographically. I mentioned what I take to be the two earliest sources, but among the possible later references I am biased towards the source that I myself learned from.)
Jan 18, 2013 at 23:13 history edited Tim Perutz CC BY-SA 3.0
fixed comments about relative Pin structures
Jan 16, 2013 at 20:53 vote accept Sam Lisi
Jan 11, 2013 at 23:25 comment added Tim Perutz Chris, I've now added some details.
Jan 11, 2013 at 23:25 history edited Tim Perutz CC BY-SA 3.0
Details and references added.
Jan 10, 2013 at 17:22 history edited Tim Perutz CC BY-SA 3.0
a minor correction
Jan 10, 2013 at 4:45 comment added Tim Perutz Chris, I think there should be several sources for this, among them FOOO's book, but right now I can't remember which do this in detail. I'll try to get back to you on that.
Jan 10, 2013 at 0:35 comment added Chris Gerig @Perutz: Where can I find more information on your point (2) ? This seems useful.
Jan 9, 2013 at 22:26 history answered Tim Perutz CC BY-SA 3.0