Crosscap number two knots in $S^3$ with (1,1) decompositions

Details Crosscap number two knots in $S^3$ with (1,1) decompositions Crosscap number two knots in $S^3$ with (1,1) decompositions

2005-10-31

arxiv.org/abs/math/0511005v1

Mathematics

Geometric Topology

16 pages, 11 figures, to appear in {\it Bolet\'{i}n de la Sociedad Matem\'atica Mexicana,} FicoFest Proceedings

Scientific paper

M. Scharlemann has recently proved that any genus one tunnel number one knot
is either a satellite or 2-bridge knot, as conjectured by H. Goda and M.
Teragaito; all such knots admit a (1,1) decomposition. In this paper we give a
classification of the family of (1,1) knots in $S^3$ with crosscap number two
(i.e., bounding an essential once-punctured Klein bottle).

Affiliated with

Also associated with

No associations

Rating

Crosscap number two knots in $S^3$ with (1,1) decompositions 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 Crosscap number two knots in $S^3$ with (1,1) decompositions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crosscap number two knots in $S^3$ with (1,1) decompositions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-655960