Homotopy properties of knots in prime manifolds

Details Homotopy properties of knots in prime manifolds Homotopy properties of knots in prime manifolds

2011-10-31

arxiv.org/abs/1110.6903v1

Mathematics

Geometric Topology

Scientific paper

We define homotopy-theoretic invariants of knots in prime 3-manifolds. Fix a knot J in a prime 3-manifold M. Call a knot K in M concordant to J if it cobounds a properly embedded annulus with J in MxI, and call K J-characteristic if there is a degree-one map f:M --> M throwing K onto J and mapping M-K to M-J. These invariants are invariants of concordance and of J-characteristicness when f induces the identity on the fundamental group of M, and may be viewed as extensions of Milnor's invariants. We do not require the knots considered here to be rationally null-homologous or framed.

Affiliated with

Also associated with

No associations

Rating

Homotopy properties of knots in prime manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homotopy properties of knots in prime manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homotopy properties of knots in prime manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-148392