Can Dehn surgery yield three connected summands?

Details Can Dehn surgery yield three connected summands? Can Dehn surgery yield three connected summands?

2009-08-19

arxiv.org/abs/0908.2697v1

Mathematics

Geometric Topology

11 pages, 2 figures

Scientific paper

A consequence of the Cabling Conjecture of Gonzalez-Acu\~{n}a and Short is that Dehn surgery on a knot in $S^3$ cannot produce a manifold with more than two connected summands. In the event that some Dehn surgery produces a manifold with three or more connected summands, then the surgery parameter is bounded in terms of the bridge number by a result of Sayari. Here this bound is sharpened, providing further evidence in favour of the Cabling Conjecture.

Affiliated with

Also associated with

No associations

Rating

Can Dehn surgery yield three connected summands? 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 Can Dehn surgery yield three connected summands?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Can Dehn surgery yield three connected summands? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216156