Braid equivalences and the $L$--moves

Details Braid equivalences and the $L$--moves Braid equivalences and the $L$--moves

2011-03-22

arxiv.org/abs/1103.4397v1

Mathematics

Geometric Topology

32 pages, 40 figures

Scientific paper

In this survey paper we present the $L$--moves between braids and how they can adapt and serve for establishing and proving braid equivalence theorems for various diagrammatic settings, such as for classical knots, for knots in knot complements, in c.c.o. 3--manifolds and in handlebodies, as well as for virtual knots, for flat virtuals, for welded knots and for singular knots. The $L$--moves are local and they provide a uniform ground for formulating and proving braid equivalence theorems for any diagrammatic setting where the notion of braid and diagrammatic isotopy is defined, the statements being first geometric and then algebraic.

Affiliated with

Also associated with

No associations

Rating

Braid equivalences and the $L$--moves 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 Braid equivalences and the $L$--moves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Braid equivalences and the $L$--moves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440420