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Jan 30, 2011 at 6:30 vote accept Greg Friedman
Jan 29, 2011 at 1:11 answer added Tom Goodwillie timeline score: 7
Jan 28, 2011 at 0:57 answer added Martin O timeline score: 8
Jan 27, 2011 at 5:01 comment added Greg Friedman Fair question. I'm interested in bordism groups of Z/2-Witt spaces. If a Z/2 Witt space is defined to only be Z/2 oriented, then I can compute those bordism groups, which are isomorphic to Z/2. But it's not clear that a Z/2 Witt space shouldn't be defined to be Z-oriented but satisfy the Z/2 Witt condition. Thus I would like to compute such a bordism group. I can show that it's 0 or Z/2. The possible invariant is the middle dimensional Z/2 intersection homology pairing in W(Z/2)=Z/2. This question would determine whether there is a Witt space with only point singularities representing 1.
Jan 27, 2011 at 4:02 comment added Ben Wieland Dylan, $RP^6$ (or $RP^2$) is a counterexample, with empty boundary, even.
Jan 27, 2011 at 2:52 comment added Dylan Wilson If you're working mod 2 why do you care that they are oriented?
Jan 26, 2011 at 23:04 history asked Greg Friedman CC BY-SA 2.5