Quandles and Lefschetz Fibrations

Details Quandles and Lefschetz Fibrations Quandles and Lefschetz Fibrations

2002-01-28

arxiv.org/abs/math/0201270v1

Mathematics

Geometric Topology

10 pages

Scientific paper

We show that isotopy classes of simple closed curves in any oriented surface admit a quandle structure with operations induced by Dehn twists, the Dehn quandle of the surface. We further show that the monodromy of a Lefschetz fibration can be conveniently encoded as a quandle homomorphism from the knot quandle of the base as a manifold with a codimension 2 subspace (the set of singular values) to the Dehn quandle of the generic fibre, and discuss prospects for construction of invariants arising naturally from this description of the monodromy.

Affiliated with

Also associated with

No associations

Rating

Quandles and Lefschetz Fibrations 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 Quandles and Lefschetz Fibrations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quandles and Lefschetz Fibrations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627404