Geodesic
Can Dehn surgery yield three connected summands?
James Howie1
1Heriot-Watt University, Edinburgh, UK
Groups, geometry, and dynamics, Tome 4 (2010) no. 4, pp. 785-797

Voir la notice de l'article provenant de la source EMS Press

DOI

A consequence of the Cabling Conjecture of Gonzalez-Acuña and Short is that Dehn surgery on a knot in S3 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.
DOI : 10.4171/ggd/106
Classification : 57-XX, 00-XX
Mots-clés : Dehn surgery, cabling conjecture

James Howie  1

1 Heriot-Watt University, Edinburgh, UK 
James Howie. Can Dehn surgery yield three connected summands?. Groups, geometry, and dynamics, Tome 4 (2010) no. 4, pp. 785-797. doi: 10.4171/ggd/106
@article{10_4171_ggd_106,
     author = {James Howie},
     title = {Can {Dehn} surgery yield three connected summands?},
     journal = {Groups, geometry, and dynamics},
     pages = {785--797},
     year = {2010},
     volume = {4},
     number = {4},
     doi = {10.4171/ggd/106},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/106/}
}
TY  - JOUR
AU  - James Howie
TI  - Can Dehn surgery yield three connected summands?
JO  - Groups, geometry, and dynamics
PY  - 2010
SP  - 785
EP  - 797
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/106/
DO  - 10.4171/ggd/106
ID  - 10_4171_ggd_106
ER  - 
%0 Journal Article
%A James Howie
%T Can Dehn surgery yield three connected summands?
%J Groups, geometry, and dynamics
%D 2010
%P 785-797
%V 4
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/106/
%R 10.4171/ggd/106
%F 10_4171_ggd_106

Cité par Sources :