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May 27, 2011 at 12:41 vote accept Dionigi Benincasa
May 16, 2011 at 19:33 comment added Ryan Budney Even with the edit, "represented by -1" is not clear. Are you asking for this element of the mapping class group to map onto the generator of an infinite cyclic group? That's how I read your question.
May 16, 2011 at 19:24 answer added Ian Agol timeline score: 8
May 16, 2011 at 16:17 history edited Dionigi Benincasa CC BY-SA 3.0
Added some background motivation (with references) which might answer some of the questions asked
May 16, 2011 at 13:43 history edited Dionigi Benincasa CC BY-SA 3.0
added 931 characters in body
May 16, 2011 at 13:28 comment added Sam Nead 1. This is not the usual definition of MCG. 2. By the belt trick, the $2\pi$ rotation squares to be the identity. 3. The $2\pi$ rotation is central. 4. I don't know what you mean when you say "abelian representation" or "represented by -1".
May 16, 2011 at 13:25 comment added Dylan Thurston Please edit the question statement to put in the clarifications. You're also presumably assuming that the manifold is spin, and looking at the spin mapping class group.
May 16, 2011 at 12:21 comment added HJRW What do you mean by 'the' $2\pi$ rotation?
May 16, 2011 at 11:41 history edited Dionigi Benincasa
edited tags
May 16, 2011 at 10:48 history asked Dionigi Benincasa CC BY-SA 3.0