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Nov 26, 2011 at 1:09 comment added yanqing To Kevin: I assume that $M$ is a closed 3-manifold.
Nov 25, 2011 at 18:38 comment added Kevin Walker I think you are assuming that $C$ lies on the boundary of $M$, while the question does not make this assumption.
Nov 25, 2011 at 18:17 history answered ThiKu CC BY-SA 3.0