Surgery presentations for knots coloured by metabelian groups

Details Surgery presentations for knots coloured by metabelian groups Surgery presentations for knots coloured by metabelian groups

2011-01-03

arxiv.org/abs/1101.0532v1

Mathematics

Geometric Topology

52 pages, 131 figures

Scientific paper

A G-coloured knot is a knot together with a representation of its knot group onto G. Two G-coloured knots are said to be rho-equivalent if they are related by surgery around unit framed unknots in the kernels of their colourings. The induced local move is a G-coloured analogue of the crossing change. For certain families of metabelian groups G, we classify G-coloured knots up to rho-equivalence. Our method involves passing to a problem about G-coloured analogues of Seifert matrices.

Affiliated with

Also associated with

No associations

Rating

Surgery presentations for knots coloured by metabelian groups 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 Surgery presentations for knots coloured by metabelian groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Surgery presentations for knots coloured by metabelian groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-238858