Framed Knots in 3-manifolds

  • Published 2001
For a fixed isotopy type K of unframed knots in S 3 there are infinitely many isotopy classes of framed knots that correspond to K when we forget the framing. We show that the same fact is true for all the isotopy types of unframed knots in a closed oriented 3-manifold M , provided that M = (S 1 × S 2)#M ′. On the other hand for any M = (S 1 × S 2)#M ′ we… CONTINUE READING